Based on the idea of GitHub - lmarzen/esp32-weather-epd: A low-power E-Paper weather display powered by an ESP32 microcontroller. Utilizes the OpenWeatherMap API.
I have created my battery & ESPHome driven display.
It provides some weather info, 5 day forecast, trash collection information and (if applicable) groceries delivery time slot.
Still have some space to fill 
Created a 3D-printed case for the battery (3700 mAh LIPO) and ESP board (Firebeetle ESP32E).
It updates all its sensors every hour with a deep sleep in between. During the night is has a 8-hour deep sleep. Sensor data is coming from HA.
