Liking these last few NG posts.
Xeo good choices there. I own some, have most really on a 161 to cover most that list.
Robo Army is a solid but challenging quarter munching brawler, though while you don't have it there I'd say Mutation Nation is more entertaining.
Cyber Lip is basically their Contra, just think that and try it.
Crossed Swords is a 3rd person action-rpg arcade game basically, has a few moves, a spell, guarding, and you just have to learn a lot of attack and dodge patterns to survive the stages. It's I guess sort of like the side scrollers Capcom put out just perhaps a bit less fun until you really learn the system.
Magician Lord, near launch game, hard as nails on the bosses, challenging but fun in the stages. Basic wizard with an attack, but you can get orbs to morph into other shapes that get more life bar blocks and a whole new skill set.
Aero Fighters 2 an excellent vertical shooter, hands down the best of the trilogy but not the best vertical shooter on the system perhaps but close.
Strikers 1945 Plus, see above, I think it's a bit better due to the designs of how it works and all the different ship types and how they behave.
Not a fan of SS2, and KOF98 I'm burned out on, no comment

(I would suggest SS3 or any 'odd' SS game over the evens)
Sengoku I don't know #2, but I like one and the third one is well made so much deeper and entertaining and worthy of playing and replaying with various characters. You have to be almost tactical with it or die, not a mindless brawler.
Puzzle Bobble 2 -- Fantastic, in various ways better than the original, nice to have the branching path for 1P mode and the 1p vs com is pretty slick too.
Pulstar - Damned hard, turned me off
Alpha MIssion 2 -- Basic looking, average design but it is fairly decent fun
Blazing Star -- Probably the best horizontal shooter on the system. Excellent stage designs, lots of unique ships and firepower to pick from, has some nice bonus perks too.
I can name some other ones worthy of a peek. Andro Dunos is like a Gradius/Rtype combo ripoff and quite fun. 8Man if you like the anime is a solid side scrolling combat game but it's not stellar either. If you're into Twinbee like weirdness Captain Tomaday is fantastic. Or if you want another 194x like clone, Ghost Pilots is hard but very much like that. There are a few nice side scrollers on the system, look into Top Hunter, Spinmaster, and Blues Journey for some really good fun. And in sports land nothing tops Neo Turf Masters and Baseball Stars 2.
I know some of those aren't on Switch yet, but they'll happen I'm sure.