hemlockiv Such as...?
In addition to the links from @de0u...
See https://privsec.dev/posts/android/f-droid-security-issues/ for a good compilation of the issues (some of which may have been addressed by now, but I suspect most have not).
Regarding sketchy behavior aside from poor security practices, see the Meta section at the end:
https://privsec.dev/posts/android/f-droid-security-issues/#meta
...the release of this article has unfortunately triggered a mostly negative response from the F-Droid team and some of their community, who seem to take a dismissive stance toward this article rather than bringing relevant counterpoints. Some of these individuals go as far as engaging in harassment campaigns against projects and security researchers that do not share their views;