This is a pretty common format called cube.
You can grab a list from somewhere like cube cobra. Buy the cards, or use an online draft tool or print a bunch of proxies and play. Its a fun way to play with cards that are just sitting in bulk boxes and play without having to buy a whole booster box
Hmmm sounds cool, I had heard about this before and since forgotten. I think part of what I would like is to give some of the old and weird cards in my collection some play though, rather than just playing a well known cube- but then if they're too weird they might not work at all together.
Don’t fret too much about it. I have a cube and it’s mostly a random collection of cards a friend and I had. Just separate the colours into roughly equal stacks and make sure each has a reasonable ratio of creatures to other spells plus a workable mana curve.
Play a few games and you’re bound to start finding combinations of cards you never thought of before. Then after a while you can tweak it if you find something is too unbalanced. For example, in an earlier version of my cube, enchantments were disproportionately busted, so we removed some and added some more removal.
One house rule we have is that if you pick a dual land (we just have the cheap ones), at the end of the draft you can exchange it for another from outside the cube that matches the colours you’re actually playing.