Do you just mean weird old knock off systems? or weird old systems. Over christmas me and some mates were playing fighting Vipers and fighters megamix on my sega saturn that was pretty ghetto, for portable gaming I've got a pspgo and my phone is the daddy of all smart phones the N-gage (nothing quite as awkward as that taco hold to call with it).
I have the same 2600 that someone mentioned in this thread already with the 64 built in games, I have an atari 800xl with a few 90min tapes full of games which were all just recorded from a twin tape deck. Oh I have an awesome original pong machine with the speaker on the machine and 2 removable paddles from the system I have to say, playing that on a 42inch screen is unbelievably good fun, like a massive retro arcade.
Trying to think of other bits... oh I have an original GBA the like... not clamshell one, but I had it modified with a thing called an afterburner so it actually has a backlight in it, cost a fair deal back in the day.... I also have a TV tuner for the gba but it's not really any use now since Ireland stopped broadcasting in analogue signals but you can use it to hook up things like the ps3 to the GBA screen tis pretty odd looking.....
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I have a game gear?
edit - I really must try to get some nice pics together of some of my collection of games it kinda spans all 30 years of my life :)