Personally the Nimbus is the best non PlayStation/Xbox controller I have ever used. It charges with a lightning cable but overall it just performs very well.
Also the Gamevice is very good, a little pricey but really unique if you're searching something attached to your phone. Beware, I think the iPad mini 4 model has its problems when you connect it due to tightness
I'm another using the Nimbus and has exceeded all my expectations. I've been using it flawlessly on an iPad 4. Highly recommend it!