diff --git a/esphome/automation.py b/esphome/automation.py
index 99be12451e..2439b1ddc4 100644
--- a/esphome/automation.py
+++ b/esphome/automation.py
@@ -15,7 +15,7 @@ from esphome.const import (
     CONF_TYPE_ID,
     CONF_UPDATE_INTERVAL,
 )
-from esphome.core import ID
+from esphome.core import ID, Lambda
 from esphome.cpp_generator import (
     LambdaExpression,
     MockObj,
@@ -310,6 +310,30 @@ async def for_condition_to_code(
     return var
 
 
+@register_condition(
+    "component.is_idle",
+    LambdaCondition,
+    maybe_simple_id(
+        {
+            cv.Required(CONF_ID): cv.use_id(cg.Component),
+        }
+    ),
+)
+async def component_is_idle_condition_to_code(
+    config: ConfigType,
+    condition_id: ID,
+    template_arg: cg.TemplateArguments,
+    args: TemplateArgsType,
+) -> MockObj:
+    comp = await cg.get_variable(config[CONF_ID])
+    lambda_ = await cg.process_lambda(
+        Lambda(f"return {comp}->is_idle();"), args, return_type=bool
+    )
+    return new_lambda_pvariable(
+        condition_id, lambda_, StatelessLambdaCondition, template_arg
+    )
+
+
 @register_action(
     "delay", DelayAction, cv.templatable(cv.positive_time_period_milliseconds)
 )
diff --git a/esphome/components/ble_client/sensor/ble_sensor.cpp b/esphome/components/ble_client/sensor/ble_sensor.cpp
index 6d293528c6..61685c0566 100644
--- a/esphome/components/ble_client/sensor/ble_sensor.cpp
+++ b/esphome/components/ble_client/sensor/ble_sensor.cpp
@@ -77,6 +77,9 @@ void BLESensor::gattc_event_handler(esp_gattc_cb_event_t event, esp_gatt_if_t ga
         }
       } else {
         this->node_state = espbt::ClientState::ESTABLISHED;
+        // For non-notify characteristics, trigger an immediate read after service discovery
+        // to avoid peripherals disconnecting due to inactivity
+        this->update();
       }
       break;
     }
diff --git a/esphome/components/ble_client/text_sensor/ble_text_sensor.cpp b/esphome/components/ble_client/text_sensor/ble_text_sensor.cpp
index e7da297fa0..b7a6d154db 100644
--- a/esphome/components/ble_client/text_sensor/ble_text_sensor.cpp
+++ b/esphome/components/ble_client/text_sensor/ble_text_sensor.cpp
@@ -79,6 +79,9 @@ void BLETextSensor::gattc_event_handler(esp_gattc_cb_event_t event, esp_gatt_if_
         }
       } else {
         this->node_state = espbt::ClientState::ESTABLISHED;
+        // For non-notify characteristics, trigger an immediate read after service discovery
+        // to avoid peripherals disconnecting due to inactivity
+        this->update();
       }
       break;
     }
diff --git a/esphome/components/fan/fan.cpp b/esphome/components/fan/fan.cpp
index cfc09f4d53..c402a8c36c 100644
--- a/esphome/components/fan/fan.cpp
+++ b/esphome/components/fan/fan.cpp
@@ -121,10 +121,13 @@ void FanRestoreState::apply(Fan &fan) {
   fan.speed = this->speed;
   fan.direction = this->direction;
 
-  // Use stored preset index to get preset name from traits
-  const auto &preset_modes = fan.get_traits().supported_preset_modes();
-  if (this->preset_mode < preset_modes.size()) {
-    fan.set_preset_mode_(preset_modes[this->preset_mode]);
+  auto traits = fan.get_traits();
+  if (traits.supports_preset_modes()) {
+    // Use stored preset index to get preset name from traits
+    const auto &preset_modes = traits.supported_preset_modes();
+    if (this->preset_mode < preset_modes.size()) {
+      fan.set_preset_mode_(preset_modes[this->preset_mode]);
+    }
   }
 
   fan.publish_state();
@@ -228,7 +231,7 @@ void Fan::save_state_() {
   state.direction = this->direction;
 
   const char *preset = this->get_preset_mode();
-  if (preset != nullptr) {
+  if (traits.supports_preset_modes() && preset != nullptr) {
     const auto &preset_modes = traits.supported_preset_modes();
     // Find index of current preset mode (pointer comparison is safe since preset is from traits)
     for (size_t i = 0; i < preset_modes.size(); i++) {
diff --git a/esphome/components/lvgl/automation.py b/esphome/components/lvgl/automation.py
index 593c8c67bb..9b58727f2a 100644
--- a/esphome/components/lvgl/automation.py
+++ b/esphome/components/lvgl/automation.py
@@ -137,7 +137,11 @@ async def lvgl_is_idle(config, condition_id, template_arg, args):
     lvgl = config[CONF_LVGL_ID]
     timeout = await lv_milliseconds.process(config[CONF_TIMEOUT])
     async with LambdaContext(LVGL_COMP_ARG, return_type=cg.bool_) as context:
-        lv_add(ReturnStatement(lvgl_comp.is_idle(timeout)))
+        lv_add(
+            ReturnStatement(
+                lv_expr.disp_get_inactive_time(lvgl_comp.get_disp()) > timeout
+            )
+        )
     var = cg.new_Pvariable(
         condition_id,
         TemplateArguments(LvglComponent, *template_arg),
diff --git a/esphome/components/lvgl/lvgl_esphome.h b/esphome/components/lvgl/lvgl_esphome.h
index ea58fdb85b..50d192fde3 100644
--- a/esphome/components/lvgl/lvgl_esphome.h
+++ b/esphome/components/lvgl/lvgl_esphome.h
@@ -175,7 +175,6 @@ class LvglComponent : public PollingComponent {
   static void monitor_cb(lv_disp_drv_t *disp_drv, uint32_t time, uint32_t px);
   static void render_start_cb(lv_disp_drv_t *disp_drv);
   void dump_config() override;
-  bool is_idle(uint32_t idle_ms) { return lv_disp_get_inactive_time(this->disp_) > idle_ms; }
   lv_disp_t *get_disp() { return this->disp_; }
   lv_obj_t *get_scr_act() { return lv_disp_get_scr_act(this->disp_); }
   // Pause or resume the display.
diff --git a/esphome/core/base_automation.h b/esphome/core/base_automation.h
index 78838c70c8..083bb3ae31 100644
--- a/esphome/core/base_automation.h
+++ b/esphome/core/base_automation.h
@@ -103,7 +103,7 @@ template<typename... Ts> class ForCondition : public Condition<Ts...>, public Co
   bool check_internal() {
     bool cond = this->condition_->check();
     if (!cond)
-      this->last_inactive_ = millis();
+      this->last_inactive_ = App.get_loop_component_start_time();
     return cond;
   }
 
@@ -433,7 +433,7 @@ template<typename... Ts> class WaitUntilAction : public Action<Ts...>, public Co
     if (this->num_running_ == 0)
       return;
 
-    auto now = millis();
+    auto now = App.get_loop_component_start_time();
 
     this->var_queue_.remove_if([&](auto &queued) {
       auto start = std::get<uint32_t>(queued);
diff --git a/esphome/core/component.cpp b/esphome/core/component.cpp
index 11d9501bb8..de3dd99d0c 100644
--- a/esphome/core/component.cpp
+++ b/esphome/core/component.cpp
@@ -284,6 +284,7 @@ bool Component::is_ready() const {
          (this->component_state_ & COMPONENT_STATE_MASK) == COMPONENT_STATE_LOOP_DONE ||
          (this->component_state_ & COMPONENT_STATE_MASK) == COMPONENT_STATE_SETUP;
 }
+bool Component::is_idle() const { return (this->component_state_ & COMPONENT_STATE_MASK) == COMPONENT_STATE_LOOP_DONE; }
 bool Component::can_proceed() { return true; }
 bool Component::status_has_warning() const { return this->component_state_ & STATUS_LED_WARNING; }
 bool Component::status_has_error() const { return this->component_state_ & STATUS_LED_ERROR; }
diff --git a/esphome/core/component.h b/esphome/core/component.h
index e97941374d..462e0e301c 100644
--- a/esphome/core/component.h
+++ b/esphome/core/component.h
@@ -141,6 +141,14 @@ class Component {
    */
   bool is_in_loop_state() const;
 
+  /** Check if this component is idle.
+   * Being idle means being in LOOP_DONE state.
+   * This means the component has completed setup, is not failed, but its loop is currently disabled.
+   *
+   * @return True if the component is idle
+   */
+  bool is_idle() const;
+
   /** Mark this component as failed. Any future timeouts/intervals/setup/loop will no longer be called.
    *
    * This might be useful if a component wants to indicate that a connection to its peripheral failed.
diff --git a/tests/components/esphome/common.yaml b/tests/components/esphome/common.yaml
index a4b309b69d..b2d7bccaa5 100644
--- a/tests/components/esphome/common.yaml
+++ b/tests/components/esphome/common.yaml
@@ -10,7 +10,11 @@ esphome:
   on_shutdown:
     logger.log: on_shutdown
   on_loop:
-    logger.log: on_loop
+    if:
+      condition:
+        component.is_idle: binary_sensor_id
+      then:
+        logger.log: on_loop - sensor idle
   compile_process_limit: 1
   min_version: "2025.1"
   name_add_mac_suffix: true
@@ -34,5 +38,6 @@ esphome:
 
 binary_sensor:
   - platform: template
+    id: binary_sensor_id
     name: Other device sensor
     device_id: other_device
diff --git a/tests/components/font/common.yaml b/tests/components/font/common.yaml
index 6ba52e3d97..c156b4aea1 100644
--- a/tests/components/font/common.yaml
+++ b/tests/components/font/common.yaml
@@ -21,12 +21,12 @@ font:
     id: roboto_greek
     size: 20
     glyphs: ["\u0300", "\u00C5", "\U000000C7"]
-  - file: "https://github.com/IdreesInc/Monocraft/releases/download/v3.0/Monocraft.ttf"
+  - file: "https://media.esphome.io/tests/fonts/Monocraft.ttf"
     id: monocraft
     size: 20
   - file:
       type: web
-      url: "https://github.com/IdreesInc/Monocraft/releases/download/v3.0/Monocraft.ttf"
+      url: "https://media.esphome.io/tests/fonts/Monocraft.ttf"
     id: monocraft2
     size: 24
   - file: $component_dir/Monocraft.ttf
diff --git a/tests/components/font/test.host.yaml b/tests/components/font/test.host.yaml
index c5399f2826..387ea47335 100644
--- a/tests/components/font/test.host.yaml
+++ b/tests/components/font/test.host.yaml
@@ -21,12 +21,12 @@ font:
     id: roboto_greek
     size: 20
     glyphs: ["\u0300", "\u00C5", "\U000000C7"]
-  - file: "https://github.com/IdreesInc/Monocraft/releases/download/v3.0/Monocraft.ttf"
+  - file: "https://media.esphome.io/tests/fonts/Monocraft.ttf"
     id: monocraft
     size: 20
   - file:
       type: web
-      url: "https://github.com/IdreesInc/Monocraft/releases/download/v3.0/Monocraft.ttf"
+      url: "https://media.esphome.io/tests/fonts/Monocraft.ttf"
     id: monocraft2
     size: 24
   - file: $component_dir/Monocraft.ttf
diff --git a/tests/components/image/common.yaml b/tests/components/image/common.yaml
index 864ca41c44..9819068970 100644
--- a/tests/components/image/common.yaml
+++ b/tests/components/image/common.yaml
@@ -50,16 +50,16 @@ image:
     transparency: opaque
 
   - id: web_svg_image
-    file: https://raw.githubusercontent.com/esphome/esphome-docs/a62d7ab193c1a464ed791670170c7d518189109b/images/logo.svg
+    file: https://media.esphome.io/logo/logo.svg
     resize: 256x48
     type: BINARY
     transparency: chroma_key
   - id: web_tiff_image
-    file: https://upload.wikimedia.org/wikipedia/commons/b/b6/SIPI_Jelly_Beans_4.1.07.tiff
+    file: https://media.esphome.io/tests/images/SIPI_Jelly_Beans_4.1.07.tiff
     type: RGB
     resize: 48x48
   - id: web_redirect_image
-    file: https://avatars.githubusercontent.com/u/3060199?s=48&v=4
+    file: https://media.esphome.io/logo/logo.png
     type: RGB
     resize: 48x48
   - id: mdi_alert