Whether or not RWBY actually qualifies as an anime is a matter of contention. Some people define anime by its style, while others define it by its country of origin. The problem with the first definition is that anime actually encompasses a wide variety of styles, making it difficult if not impossible to define it by any specific artistic elements. RWBY wasn't created in Japan - instead, it's an American production by the late Monty Oum and Roosterteeth. Though the team made many artistic choices that are common to anime, it's more accurate to call it "anime-inspired" than "anime."
This isn't to disparage it in any way - the fact that Western creators are using what's great about anime to enhance their own work is an example of a long history of cultural sharing between Japanese and American media. While RWBY isn't an anime per se, it has a lot in common with many anime series which make for excellent RWBY recommendations, like Soul Eater and Puella Magi Madoka Magica, as well as other Western shows that are influenced by the medium, like Avatar: The Last Air Bender, and Voltron: Legendary Defender. There are plenty more examples of anime similar to RWBY where that came from.
If you're a RWBY fan looking for something new to watch, check out one of these great anime like RWBY.