@croomz
Again, its hard to classify the games. Even Zelda can be argued to fit into the same genre, though I wouldn't count it as the game focuses on puzzle solving and action over 'platforming'. Games like Ocarina/Wind Waker/Twilight feature limited platforming, but its not the core focus of the game engine.
For the other games, its really up to opinion. But I argue that, like Metroid Prime, games like Assassins Creed and Batman: Arkham have all the key ingredients for the genre. They're just handled slightly differently because its no longer a 2D pure platformer game, but now a 3D game. And even Prime/Other M had to change things to work in a 3D space.
Also, in the first Assassins Creed, you didn't have to use the throwing knives or even the sword. However, you still couldn't progress to a new area without getting the items.











