There's one I remember from when my kids were little, it used to be on Playschool.

Up in the air I fly
Zoom, zoom, a-zoom a-zoom zoom
Up in the big blue sky
Zoom, zoom, a-zoom a-zoom zoom
Zzzoooooom, zzzooooom,
Zoom, zoom, a-zoom a-zoom zoom.

Sorry I can't remember the other verses but it's a great action song as the kids run madly about being aeroplanes. Maybe someone will recognise it and add the rest! There's something about the word "zoom" that kids just love...
Cheers,
Quokka