I have some games that go for a bit of money, but I wouldn't exactly call them rare. Games like Pokemon Emerald, Heart Gold, Black 2 or the mainline DS/3DS Dragon Quest games. In terms of consoles that are rare-ish, I have a Game Boy Light, Virtual Boy, 32X, and Nuon.
The things I would count as rare (being small print run over value) that I own are:
-Tail Concerto (PS1, loose, ~150,000 sold)
-Solatorobo: Red the Hunter (DS, loose, ~100,000 sold)
-Nintendo Roulette board game from the 1960s (complete, ?? made)
-Sutte Hakkun (SFC, loose, ?? sold) It was a very late Super Famicom game release (June '99)
-Retrobit Mega Man: The Wily Wars re-release (GEN, complete, 20,000 made)
-Retrobit Avenging Spirit re-release (GB, complete, 5500 made)
-Rikki & Vikki (7800, complete, 550 made)
-Virtual Boy Works Collector's Edition (book, complete, 500 made)
-Primal Rage Blizzard trophy (?? made) I could only find one video about this trophy
https://www.youtube.com/watch?v=TC54e6vw3aM-Game Gear Checker cartridge (GG, loose, ?? made) A test cartridge for checking link cable connections between Game Gear consoles.