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/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