Hide self from public map:

Could have a few options, such as "Hide", "Show only for Friends", and "Show", defaulting to show. Hide would make you completely hidden from every single map and from everyone, friends included. Show only for Friends, as the name implies, would only show your position and flight information for people you have added as a friend and they'd have to log in to see that.

Hide flight history from profile:

Same options could work here as well with the same ideas, to hide from everyone, show only for friends, and show to everyone, defaulting to show for everyone.

Hide profile stats from the profile:

Same principle here, but alongside a global toggle for all settings, it could also be helpful to have individual ones. For instance, I might not want people to know what my landing rate is or how many flights I do a month, but I might want people to know how much flight time I've got or how many flights I've done in total.

These features would be really nice to see

We don't use accounts on the public map, so a "Friends Only" option won't be possible. However, we can add an option to list your account as "Private" to hide your stats and presence on the map.