This might not be exactly what you’re looking for, but Neon White is one of my favorite games of the last few years, and it’s on the Switch. I played on PC, but I haven’t seen any complaints about the Switch version.
I don’t really know if I’d call if a first person shooter. It’s more like a first person platformer and you have to shoot some targets before completing the level. Levels are very, very short, and you’ll replay them many times to shave a fraction of a second off of your time.
In case anyone doesn’t know, this game is basically Devil May Cry but in the Metal Gear Solid universe.
I’m telling you that because I didn’t know that when I bought it. I had played MGS 1 and 2 before buying this game, and it took a couple of hours for me to realize, I don’t think I’ll be sneaking up on anybody in this one. It’s a good Devil May Cry game, though!