There isn't much close to the airport, but fortunately there are a number of options about 15 minutes away.

Closest: (10 - 15 min)

Ritz Carlton
Arizona Biltmore

Both are in the 24th Street & Camelback Rd area

The Ritz is definitely a business hotel, but is still very nice and a safe bet. The Biltmore is an institution and receives mixed reviews.