ToeJam & Earl

Exploring the map, opening presents and defeating enemies earns you points. Get enough and you rank up, which increases your health and can give you an extra life. Make sure to explore each floor thoroughly and open as many useful presents as you can. If you've still not made it by the time you've reached the top floor you'll need to drop back down floors to explore some more and open some more presents.

Here's the breakdown on how many points you need for each rank courtesy of KimmyGibbler69!

Wiener - 0 Points
Dufus - 40 Points
Poindexter - 80 Points
Peanut - 180 Points
Dude - 280 Points
Bro - 400 Points
Homey - 540 Points
Rapmaster - 700 Points
Funk Lord - 880 Points

You can also find a present called Promotion that gives you an instant level up, my advice is save that until you hit 700. By the time I had reached Floor 25 I was in the mid 600's so I just saved and then fell down to explore the lower floors further. I used a few presents and then as soon as I hit 700 points and ranked up I used the present to rank up again and got the trophy.