This is the list of influences that was found on Lemon Demon's now-defunct MySpace page. I have listened to a number of artists from this list and enjoyed them a great deal, such as Of Montreal and Logan Whitehurst, and would recommend the same course of action to any LD fan looking to broaden their horizons.
The most important band that seems to be missing from this list is Talking Heads.
I can't actually say whether or not any of the music on these counts as an "influence" if it wasn't listed above, but those interested in Neil-adjacent music may wish to listen to the two public playlists Neil has made: the music from his wedding and from one of his Halloween parties. He also tweeted his Spotify Wrapped 2018.