This is still an issue on 1.19.73.02.
I am using a Google Pixel 6 Pro running Android 13 (March security update).
The skin I am trying to use is a 64x64 PNG, attached. I am able to upload and use it without trouble on Java Edition.
[media]I've been having this problem too, but on an Android tablet. (Alcatel 3T 9027W, Android Oreo 8.1.0, Minecraft version 1.18.32.02)
When tapping the "CHOOSE NEW SKIN" button, a grey overlay is displayed. I would expect the file selector interface (DocumentsUI) to open then, but instead it does not, and the grey overlay remains throughout the entirety of the skin selection menu. The menu can still be interacted with normally. The grey overlay doesn't show on the title screen, but will show up again when going back to the skins menu. Closing and reopening the app is required to get rid of the grey overlay.
Attached are screenshots of before/after tapping the "CHOOSE NEW SKIN" button.
@HNrrep5810 When pressing the button to select a skin, Minecraft opens Android's default file picker, "DocumentsUI". There is no option to select any other file picker.