The Silom line is the shorter of the two lines, and runs from Saphan Taksin station up to the National Stadium. The full list of skytrain stations on this line are as follows, and are listed with their location and the nearest things of interest if any.
Approximate pronunciations of the station names is given in italics, most are the same in English and Thai though a few aren't.
Silom Line (sai see-lom)
Saphan Taksin (sa-pahn dtahk-sin)
This is very near Taksin Bridge, just south of the upper-class river hotels, such as the Shangri La and Oriental. This is located right on the riverbank, meaning it's very easy to continue on to the Chao Phraya river express boats if you want to. It's also within walking distance of the GPO, French Embassy and fairly near the River City shopping complex.
Surasak (su-ra-sak)
Surasak station is further east along Sathorn road. It's in a commercial district, located a little south of the Holiday Inn.
Chong Nonsi (chorng non-see)
This is on a connecting road between Silom and Sathorn roads. It's in the heart of the commercial district and is also near a few embassies, the Russian, Belgian, Korean and Saudi Arabian. There's nothing of any real interest to tourists in this area.
Sala Daeng (sah-lah dairng)
This is the main stop on the Silom line. It's not all that far from the intersection of Silom and Rama IV roads. It's connected to the Silom Center shopping mall and close to the Dusit Thani Hotel, the Montien Hotel, a few other decent department stores, Patpong and Lumphini Park. A large nightmarket takes place in this area after dark.
Ratchadamri (raht-cha-dam-ree)
Located not far from the Ratchaprasong intersection of Ratchadamri and Rama I roads, this station is convenient for visitors to the Regent Bangkok and, to a lesser extent, the Grand Hyatt Erawan hotels.
Siam / Central Station (sa-yahm)
This is located next to Siam Square, near the Novotel Bangkok and Siam Intercontinental hotels. Also in this area are several shopping malls, cinemas, restaurants etc...The station is connected to the Siam Center shopping mall, and is also the interchange station to switch to the Sukhumvit line.
National Stadium (sa-nahm gee-lah hairng chaht)
This huge station is attached to the Tokyu/MBK shopping center, and is only a couple of minutes walk away from the Siam Station. It's the nearest station for the Pathumwan Princess hotel and for the guesthouses located on Soi Kasem San 1. Jim Thompson's house is also nearby, as is a pier for the Khlong Saen Saep canal boats.