Hmm. I still dunno how to vote. "Local" is such a vague term. There is currently 1 LGS that I would consider to be 'nearb'y' my house in Glendale, AZ, and a few that are kinda-local, out at the far edges IIRC of Phoenix and, err, some other town around here (can't remember if the Borders or the wargaming store are technically at the edge of Glendale, or the edge of Scottsdale or something else).
There's Manawerx about a 30-minute bike ride from my house, which is about 5-10 minutes away by car (on the rare occasion I can bum a ride off somebody). It's kinda-FLGS, mainly focused on Magic: The Gathering, and many of the regular crowd there are annoyingly elitist for no good reason, but the employees are alright and there's lots of tables. They have a few RPG books for now, but generally only special-order them if someone asks. I run a D20 Modern/Future campaign there lately, after the previous DM's D&D game kinda fell apart from players' schedule changes and such. At some point we'll resume D&D, but for now I just started an early-Saturday-evening 'Mecha Crusade' campaign.
There used to be a Beyond Gaming nearby, about a 5-10 minute bike ride away, but they closed in January or February IIRC.
Only other LGSes I know of besides that are one store about 2-3 hours' bus ride away (counting the walking I have to do, and the 30-60 minute waiting periods for busses going that way) (20-25 minutes away by car), which mainly sells wargaming stuff and just a bit of CCGs and RPGs, and another 2 stores about 1 hour's bus ride away, at Metrocenter (15-20 minutes away by car); Atomic Comics and Game Nightz or somesuch. Oh, and there's a Waldenbooks at Metrocenter that has a few RPG books near its Fantasy novels section. And a Borders in the opposite direction, about 2 hours' bus ride away (20 minutes away by car), that also has a few RPG books.
Sucks. Back in Michigan I lived near 2 game stores and was aware of a few others in the neighboring townships (none of this half-dozen-cities-crammed-together-around Phoenix-and-indistinguishable-from-one-another crud). The Fun Factory was a 5-10 minute bike ride away, and Hocus Pocus was another 5 minutes away from there. And they had a friendlier atmosphere (also, TFF has a few arcade games, which Dave switches out every so often).