The oldest computer I've used is my dad's old black and white Apple Macintosh that he had during college. Not sure what exact model is or where it is in the house, but it still works.
I think the oldest computer I had was a TRS-80, but the first computer I ever programmed on was an Apple IIe. Back in the day (early 80s,) my mother programmed apple computers and occasionally she would take us to work after hours while she worked on something and I got to play with the in-house games made by the folks she worked with. I can remember seeing COBOL and FORTRAN books lying around the house.
BK-0010 (from 1985: http://en.wikipedia.org/wiki/Electronika_BK ) for me, although I had to deal with Bruker Aspekt 3000 from ~1983 at my first real job later (hey, I got to use TECO)
@BHXSpector
I remember working on similar looking PCs in our computer room back in school. But this was 1993 so I am not sure whether they were indeed the same ones.
I liked the look of the good old 'floppys' though.
Speaking of floppies, we actually used them in my elementary school for several years - I distinctly remember using them in 3rd grade while also experimenting with zip drives. All the computers at school as well as our home computer at the time had a floppy disk drive and a zip drive.
@ LB: Wait, so your school PC's had both the old 5.5" floppy drives AND Zip drives? That's a pretty odd combination.
As for me it was an old Apple IIc. It was old when I got it though, one of those "hand me downs" from a friend of the family because they heard I was into computers. It seemed like every other week during high school someone was giving me an old 286 or a broken Gateway. I managed to build a working PC out of all of the scrape parts at one point and that was pretty cool but I still had all of the broken and obsolete parts from the rest of the systems that I had to cannibalize. My bedroom looked like an electronics recycling center.
Consoles are specialized computers (ie. they are designed to play video games only and only recently had more functionality) so I'd have to agree with LB on this one and say they don't count.
I honestly couldn't tell you. It was a hammiedown from my father workplace. I used to play snake and a game like scorched earth where you threw pixelated bananas at the opposing gorilla.