Most obscure games you own.

[gamemaster1991]

Let's see...
Rune Factory Frontier and Rune Factory 2. Harvest Moon... but with swords! And monsters! and dungeons!
Speaking of Harvest Moon, Harvest Moon: A Wonderful Life and Harvest Moon: Friends of Mineral Town. I love both of them.

I own Earthworm Jim, Earthworm Jim 2 and Earthworm Jim 3D.
The Ooze for the Sega Genesis. It's such a weird game. Basic storyline is that you're caught attempting to hack the computer of the company you work for to rat them out for the illegal experiments they're doing, the boss has two big guys inject with green ooze, causing you to melt into a pile of green mush and they flush you down the toilet. You somehow survive the process, and now as The Ooze, must fight your way back out of the sewers to seek revenge!

Pac-Man 2 for the Genesis, anyone?
How about Micheal Jackson's Moonwalker?
The Lost Vikings?
Super Hydlide?
Dr. Robotnik's Mean Bean Machine?
Revolution X featuring Aerosmith?

But enough about genesis games I own. Let's move on to that SNES... thing... called "Lester the Unlikely". The only game where you play as a wimpy nerd who is so scared that he'll run away from enemies off cliffs and to your doom. Pitiful.

An absolute favorite of my N64 games is Hot Wheels Turbo Racing. Marvelous little game. I speedrun it.
A game I love for the Wii is Trackmania: Build To Race. Of course, all Trackmania games are excellent, but I feel BTR gets passed up on the love.
I know I have more that I'm forgetting right now...

I don't think Harvest Moon and Earthworm Jim would be counted as obscure.

I forgot about Pac-Man 2. I own it and played not too long ago and I still didn't remimber it.

I guss you could also count Vectorman, Robocop Vs The Terminator, and Hey You, Picachu!.