There's also the Alley bar, which is the Bear/Levi bar in town, and usually has a good crowd on Saturday nights. If you are looking to go out on Sunday night, that's probably the place to go. On sunday night, there's a gay club night at Avalon, on Landsdowne St., which is a huge dance club. The Machine is a dance club downstairs which tends to attract a younger crowd. But, if you want the Eagle-ish atmosphere and a dress code, Ramrod is the only place. The Ramrod/Machine is a good idea, although the big night there tends to be Friday. It's generally busiest at 'last call', between 1 and 2 am. It's a tiny place with a pool table in the middle and lots of standing and modeling.
The Eagle here is not anything like the Eagle in NYC.