Is it the Jazz Jackrabbit game series released for MS-DOS, the PC and other consoles? If so, the first game matches the description of what you are looking for (it also had a sequel as well).
(BTW, I'm embedding these two videos to help refresh your memory and also because both LGR and Brutalmoose are some of my favorite YouTube channels to watch).
Last Edit: Jun 29, 2018 18:01:00 GMT by Happy Brian
Despite the frustrations of normal day life we go through, the best thing to do about it is still being happy for our friends and family.