Denon, Yamaha, Marantz and Onkyo are all good brands.
I can't give you specific models, thats really upto you to decide but will give some tips what to look for, will depend on your needs/wants of course.
Some brands favor music more than cinema like Marantz and Yamaha/Onkyo are known for clarity but still offer great sound all round. Make sure it has plenty of HDMI inputs and at least one output for HD TV supporting at least 1080p pass through.
It has an audyssey balancer, a balancing mic to calibrate the distances all your speakers to a central point where you would be sitting. All decent AVRs will have an audyssey balancer included and the wire is very long.
Speakers, be best to listen to them first, Dali's are pretty good i have a 5 set of them. Centre speaker is quite large so i have the TV sitting on it
Subwoofer, go for a down firing sub as they fill the room better than forward firing. I have a forward firing Sub, its nice but i needed another one opposite of the room to complete the bass. I have a friend with a down firing sub and he only needs just the one.
Lastly, the best advise i was given when looking for an AVR is to lift it. The heavier it is, the better quality power supply it has along with the rest of it's guts.
As for projectors, i don't know much about them, i couldn't say.