Pubs in Playa del Rey/Westchester/LAX (Airport)
Inside the Sheraton Four Points LAX hotel. Yes, this is a hotel bar, but not like any hotel bar you've been to before. In spring and summer there is a second, poolside bar with another 5 taps, dedicated to local beers.
Mexican (Oaxacan) restaurant with a good beer list
Sister pub to Gulp DTLA. At the site of the former Picnic.
In the Runway shopping center.
Restaurant with a decent draft selection. Only seats about 30, all at communal tables, so can be crowded.
Another good beer bar inside a grocery store. The Astro Pub is to the far left as you enter. Happy Hour from 4-7pm with $2 off all drafts.
Pizza chain that has a self pour tap room with a number of local beers.