If you've got fond memories of spending Saturday morning watching the antics of Peter Perfect, Penelope Pitstop, and Dick Dastardly (themselves based on The Great Race from 1965), then you should check out Steampunk Racing 3D. While it doesn't have the same abundance of personality as the Hanna Barbara classic, it's definitely got the cartoonish exaggeration down pat. In this full polygonal racer, you're tasked with navigating your steam-powered contraption through an Industrial Revolution setting while dealing with other racers, with varying degrees of prejudice.
The game takes the typical kart racer approach: various speed boosters and power-ups can be found throughout the tracks, which you can hold in three slots as you go. Each of the 10 vehicles is unique, and include such interesting conveyances as a tricycle, a zeppelin, and a bulldozer. An impressive 30 weapons help flesh out the standard campaign and online tourney modes. The graphics aren't the best in the world, but they show off the unique vehicle designs, and the game runs quickly and smoothly on my Nexus 7. The tilt-based controls are surprisingly responsive.
Steampunk Racing 3D is a free download, with the standard in-app purchase and currency model. That seems fine for solo play, but could unfortunately result in a pay-to-win situation for online matches.