[Feature Request] Ability to manage playlist

It would be very practical if I was able to delete items from a playlist.

You can delete items from a playlist - if it is a ‘dumb’ playlist.

If your playlist however is made from a filter, then it is a ‘smart’ playlist. It simply contains all items which match your filter criteria (and will update itself if you remove media files and/or add new ones).

To be able to edit such a list that was made from a filter, you need to first convert this smart playlist into a ‘dumb’ one:
https://forums.plex.tv/discussion/comment/1239305/#Comment_1239305

Is there some easy way to see whether the playlist is “smart” or “dumb” other than the editing functionality?

Yes.
Smart Playlists have a small ‘cog wheel’ icon on top of their poster.

Early 2021 clean-up: implemented/available