There's a lot of different practices, though in a lot of schools that have practiced meditation for centuries, "Mindfulness" style meditation – what's largely practiced in the west – is just one aspect. The Dalai Lama, for instance, discuss at length in his books deeper phases of meditation that focus on things like "emptiness" [1] or compassion, loving-kindness, etc. Someone who's more knowledgable can correct me if I'm wrong, but the 'mindfulness' type meditation is almost like a warmup for these other forms of meditation.
1: Emptiness meditation, best I can describe it, is sort of like meditating on how something like a "Chair" falls apart under scrutiny. We perceive it as a solid object, yet when you analyze its parts, it tends to 'fall apart', and what makes it a "Chair" becomes hard to pin down. You start to see it more as a coming together of many things, each of which also tends to fall apart under scrutiny. Worth pointing out that this 'emptiness' is not the same as nihilism.