I love my Optoma GT750. It is extremely low cost, you don't need to worry about space (I'm projecting a 120" image from about 6 feet), very bright, and you don't need to worry about people getting in front of the screen when gaming since it is such a short throw.
It's huge downside is that it is 720p and not 1080p or 4k like some of the newest models.
This is one of the things where you could ask 5 different people and get 6 different answers. There's also a forum dedicated to projectors like Sonyad mentioned.