Best Android tablets that aren't Google Nexus?

I'm looking to buy an Android tablet but first I need to ask you another question: Is a 7/8 inch Tab better than a full size 9/10 inch tab?

Now for the actual tablets. I have the iPad 2 but it's quite old now; the battery life is poor and it's not especially quick. If I was to rule out Google Nexus, then what's the best tablets for the smaller category and larger category? For instance, what's the best large Android tablet and what's the best smaller Android tablet? Taking into account I don't want Google Nexus!

Thanks :)