I've played only the first two.
They're more action oriented actually, but with emphasis in strategy.
In combat, movement is limited to that combat grid. You can move mega man one square at a time, but it happens really fast, almost no waiting between moves.
You can only move inside your colored grid. The same applies to your enemies.
The only action other than movement that you can use is your weak cannon attack (that can be charged for stronger attacks).
Other actions are performed using cards.
The cards give you limited special abilities like more powerful cannons, swords, each with a different range.
You can also use cards to capture the enemy's grid space, and so can they.
I don't really remember the specifics, but I think you can equip a limited numbers of cards each turn, and then you can pause the battle when that top bar is filled to equip more.
Something like that.
Also, Mayl best girl