Are those the planes that come in flat paper envelopes, basically exist of two parts (wings and body), with plastic propellor?
God, those are a fantastic invention. They never last long (with me, it's usually that the nose breaks off so that the propellor doesn't fit anymore), but I went through hundreds of them everytime the fair was in town.
Aside from Battle Beasts and Boglins (I had one that could shift its eyes), I used to collect things called Monsters In My Pocket. They were little yellow, red, green or purple rubber figures of mythical monsters. Each had a point counter on them (5, 10, 15, 20 or 25), but there wasn't any game to be played with them - it was just the intention that when you swapped figures, you gave each other a fair deal in points. Once a kid in my class stole one from me and claimed he'd found it around his house, and it split the entire class in two between people who believed me and people who believed him.