In my childhood, during computer lessons in school, we played a game which I don’t remember the name. It was a guy with a jetpack that goes forward over different stages. Any clues?
Oh my goooooood!!! Thanks a lot!!!
If that’s still not close enough it could also be Alien Carnage. Aka Halloween Harry
There’s also Dangerous Dave. You don’t always wear a jetpack, but every level has a jetpack that you can grab to fly over dangerous areas (or to secret levels!).
This was the first game that came to my mind
https://www.lemon64.com/forum/viewtopic.php?t=3408
i’d bet on H.E.R.O. but several mentioned in that discussion link
Try out the jetpack list on tvtropes in the “video games” tab: https://tvtropes.org/pmwiki/pmwiki.php/Main/JetPack
For example Dangerous Dave (1988) fits your description: video timestamp at 8m35s
