There are weirder games than these two, but I remember an arcade game called Bubbles that was about a drop of water on a sink that collects... things like grease, and ants that come out of the drain. and avoiding sponges, blades and big insects...
...Until you get enough "shit", then you get bigger and the sponges would bounce when they touched you. The blades were always 1-hit Ko (And very annoying) and for the insects you needed to grab a broom from a very small lady (Or witch, I don't remember) that sometimes appeared and use it against them.
Revolution X is a (an?) Arcade On-Rails Shooter with AEROSMITH in it. The plot goes like this: You are on your way to a concert of the band when suddenly, out of the blue, a group of "oppresive alliance" called THE NEW ORDER NATION takes over the world.
But of course, that won't stop you. You're going to that damn concert, so you take your machine gun (because of course you have one) and start shooting at the evil grunts until you get to the concert, where the bad guys kidnap all the members of Aerosmith (which by the way, keep singing while everybody is shooting around).
For some reason your character goes to the room of Steve Tyler and after killing several dozens of bad guys, you see that he left a video tape for you (what) and it has Steve talking to YOU, giving information and also giving you permission to take their car, THROWING THE KEYS THROUGH THE TV DIRECTLY TO YOUR HAND, and then you're part of the Revolution X started by Aerosmith to save the world.
And that's the beginning. It's so incredibly silly, weird and crazy that it's awesome.