I think I've never played a Neo Geo game, apart from a little bit of one of the Metal Slug games a long time ago. I fancy a second game for my Switch to compliment Zelda, I will be playing it mostly single player. I'm really glad to hear the brightness issue on the Neo Geo games seems to have been fixed. From what I gather Shock Troopers or the Waku Waku games would be good choices?
Neo Geo is home to some of the best looking (and playing) 2D games ever made. Check out Metal Slug 3. You'll be blown away by the end of the first level.