The Gorillaz are alright. They're... Less "rap" than you'd think. It's just the style of the music. Honestly, to me, this would classify as rap, although there are a few misconceptions with this. Daniel, I believe you're contributing all "rap" music to the category of shit music, known as "Gangster Rap". Mainstream Hip-hop, Pop and most mainstream rap (Due to the fact that most is in fact, Gangster rap) like the Gorillaz is music I tend to avoid, but there are exceptions for me. The Gorillaz happen to be one of these mainstream rap bands that I enjoy listening to. I listen to a variety of music, but I would never put the Gorillaz into the same category as something like Snoop-Dogg, Ice Cube or George Clinton. That type of music bothers me.
Just so you know, I listen to pretty much everything besides Mainstream hip-hop, pop and rap. My most common types of music that I listen to are Techno/Trance (Also includes D&B), and Rock (Classic, Metal, and even things like Screamo.)