Different types of 3D platformers

Spurred by this (sub)thread on the topic of 3D Mario All Stars, I thought it would be interesting to discuss different types of 3D platformers, comparing them and perhaps even managing to group the similar ones together.

I hope such a discussion might lead people to try some other games that they haven’t before based on what they have enjoyed before.

Some example topics, to kick-start the discussion:

• how the character feels/controls (e.g. their momentum, jump, move-set)
• audio-visual package
• story and general ambience/feeling
• completionist goals
• specific game mechanics
• any other reason why one is a “must play” and how is it similar or different to others
• …