DeNA has announced a new game coming to Android soon called Monster Builder which, as the name suggests, is all about collecting and building up various monsters. This does fall into the collectible RPG genre we have sort of made up to classify these types of games. However, there's a bit of a Pokemon theme to this one as well, with the whole collecting monsters part.
Players in Monster Builder will be trying to collect as many monsters as they can, with the goal to get the more stronger and/or rarer ones. Regardless of the monsters you have at any given time though, you'll want to level them up and train them to become stronger. As they grow in strength, new skills will be unlocked, and all skills will also have the ability to level up and become stronger.