Action
This type of anime usually involves lots of battle scenes with all kinds of vehicles, weapons and fighting styles. The dynamic battle scenes are what this genre of anime concentrates on. It can be said that Adventure and Action genres can sometimes be very alike.
Examples: Naruto, Bleach, Lupin, Black Lagoon, One Piece.
Adventure
It shares similarities with the Action genre, putting the protagonists in many dangerous situations in which they have to survive. Adventures all the way and strong and stubborn characters.
Examples: Blue Submarine No. 6, 3000 Leagues in Search of Mother, …