Since 1880, the LAAC in downtown Los Angeles has been LA's unofficial urban country club.
What is not very well known is that it's also a wonderful hotel with a private clubby feel.
There are 72 recently renovated rooms to choose from. I recommend one of the themed suites, especially the "Social Club" Suite.
When you stay at the LAAC, you get free access to all of the facilities, including the indoor pool, the spa, and basketball and racquetball courts.