Jazz Jackrabbit

Gameplay mechanics in Jazz are very similar to Zool's, with the exception of not being able to destroy the enemies by simply jumping at them (which was not added until the second game). Jazz will run faster and jump higher the longer he runs, avoiding chasms that might lead to harmful objects. Unlike other platform games, however, there are no abysses and every level bifurcates into subsections that might lead to valuable items. (wikipedia.org)