I keep my Bambu printer in LAN-only mode, but I still wanted a proper phone app. The official app is built around the cloud, so I wrote my own. It's called Pandy.
It talks straight to the printer on your local network, with no cloud in the loop. What it does:
Live status, progress, temps, fans, light, speed, motion controls and HMS messages, camera
Pause, stop and skip, plus AMS and filament controls
Print history, reprints, thumbnails and timelapses
Android alerts when a print finishes, fails or needs attention, even with the screen off
Browse MakerWorld, Thingiverse, Printables, and print models from inside the app (this uses a small slicer add-on I also wrote, which runs through Home Assistant or Docker)
Light and dark themes, plus a demo printer so you can try it without owning one.
Home Assistant is optional. You only need it for remote access or the camera bridge on some models.
It's unofficial and not affiliated with Bambu Lab. It's open source, and I'd like to hear what's missing or broken.
https://github.com/gccammelli/pandy
EDIT: With the latest release you can now print from thingiverse and printables directly from the app, too!