I love Terminal 4 at Sky Harbor. I fly out of here pretty regularly, and I'm always amazed at the variety of legitimately good local restaurant options here, as opposed to other airports where you're limited to fast food chains.
I'm a huge fan of LGO. Their sourdough English muffins are what dreams are made of; I highly recommend getting your burger on one of those bad boys. Life changing. I had a 5:55 am flight out of PHX this morning, and luckily for me this location opens at 5 am sharp. I had the commuter sandwich with turkey and avocado ($9.55 + 0.50 to add avocado) and it definitely hit the spot. I ordered at the counter and it was out in less than 5 minutes. For those of you who love spice, they have a condiment bar with Sriracha and Tapatio and a variety of other hot sauces. The large cold brew ($5) is about 20 ounces of smoooooth strong (in a good way!) deliciousness. They have a ton of "patio" tables as well as a couple big communal tables with power sockets if you plan to hang out for a while. If you get a regular coffee - free refills. I didn't have any of their pastries today, but their cupcakes are amazing too :)