Yes, it's the Garbage Pail Kids. We collected these bad boys for years. Being used to the old Panini sticker albums and not having one for these, we made our own out of folded over A3 paper and stuck them all inside (which is a shame because I think they ended getting thrown away for being in a tatty state -if only we'd kept them with the backs on, we could have sold them for a fair amount). We even watched and enjoyed the Garbage Pail Kids movie although I couldn't tell you a thing about it now; that one's lost in the mists of time.
I have to admit they had a genius way to make you collect more - each card had an A and a B version with a different name on it so you effectively had to collect each card twice. Great. Takes twice as long to get the lot.
I had a sneaking suspicion that it might be the sort of thing that just wouldn't happen these days* but a swift Google search has proved that they still make these too! Viewmaster, Top Trumps, Garbage Pail Kids, Star Wars, Transformers, 2000AD, they're all still around and going strong today - it's like my childhood never ended. And some would say that I behave as if it never did as well. They would be right. Now pass me the Top Trumps and let's go down the park...
* Particularly one's like Nervous Rex who's smothered in cigarettes