How do I improve collisions on a platformer game?

I've seen this in a lot of games, and i think it looks terrible, the fact that more than half of my player collision Box is not touching the platform, and i don't fall, or react to it.

i 've tried messing with the collision box, but never got close to what i want

Is there a standard way to check if i'm on an edge? must i set image points on the edge objects?

THanks in advance!

I've found that the box (sides) of the player and the collision box (sides) of the platform need to be perfectly vertical or they get hung up on each other. The slightest angle creates edges.

ok good to know, but i was talking more about something like this

Thx in advance