In anime, sometimes characters will, well, look very similar. Here is an updated page for these characters who are separated at birth...
Sakura (Urusei Yatsura) and Kyoko Otonashi (Maison Ikkoku). Although the two were both created by the same person (Rumiko Takahashi), Urusei Yatsura is several years older than Maison Ikkoku. Sakura is a priestess with a short temper, while Kyoko is a landlady who is very kind. An interesting thing to note is that Sakura's boyfriend (Tsubame was his name, I think) and Kyoko's admirer (Godai) look almost exactly the same as well.
Akane Tendo (Ranma 1/2) and Ami Mizuno (Sailor Moon). Another case of two characters who look alike but act very differently. Akane is a tomboy who can be very violent, while Ami is one of those quiet, smart types.
Yui Hongo (Fushigi Yuugi) and Haruka Tenou (Sailor Moon). Both are from shojo anime. Yui is a quiet girl who is very smart and nice to others (well, usually ^_^;;). Haruka is a very masculine girl who loves racing (cars, motorcycles, video games, running...)
Ifurita (El Hazard) and Sylia Stingray (BGC 2040). These two happen to have similar personalities as well. Both are quiet and seem to be very intelligent. Sylia is the stratigest and leader of the Knight Sabers, a group of female mech-clad vigilantes. Ifurita is an ancient demon goddess in El Hazard. An interesting fact is that the TV series version of Ifurita (above is the OAV series version) has black hair, just like the OAV version of Sylia (above is the TV series version). Or maybe that fact isn't that interesting.
Peorth (Ah! My Goddess) and ??? (Sakura Taisen). I've never seen Sakura Taisen, so I don't know anything about this character. Gomen ^_^. Peorth is a goddess who works for a rival Goddess office in AMG, and Belldandy's aunt.
Sakura (Sakura Taisen) and Kaoru (Rurouni Kenshin). Sakura is the main character of ST and that's all I know about her. Kaoru is a short-tempered martial artist from RK, also one of the main characters. Here is another picture of them, but their eyes have changed colors (although they both share the same eye color!!).
Ataru Moroboshi (Urusei Yatsura) and Kensuke Aida (Neon Genesis Evangelion). These two have little in common personality-wise. Ataru is letch who is "engaged" to an alien. Kensuke is an obnoxious military otaku who carries a video camera everywhere. Athough these two don't look that much alike, this picture of Kensuke reminded me of Ataru, so I had to!
Shampoo (Ranma 1/2) and Lum (Urusei Yatsura). Lum is the self-proclaimed fiance of the above-mentioned Ataru. Shampoo is the tribe-proclaimed fiance of Ranma. The two are similar: single track mind, foreign, cute, short-tempered, deadly... The main difference is that Lum is the protagonist and Shampoo is an antagonist. Both were created by Rumiko Takahashi.
Ryuunosuke Fujinami (Urusei Yatsura) and Ryouga Hibiki (Ranma 1/2). Another set of Ranma/UY similarities. Ryouga is a boy who has no sense of direction and turns into a little pig when doused with cold water. Ryuunosuke is a girl whose father wants her to be a boy and thinks of her as a boy as well. The first and only boy/girl lookalikes!
Linna Yama-something-or-other (BGC 2040) and Nabiki Tendo (Ranma 1/2). Linna is a office lady who is secretly one of the Knight Sabres. Nabiki is a sarcastic girl who uses everyone she knows to get money.
Kahlia?? (El Hazard 2) and Rei Ayanami (Neon Genesis Evangelion). I haven't seen EH2, so all I know is that this girl is a demon goddess (like Ifurita). Rei is an Evangelion pilot and a clone with no emotions.
The other day, I was just surfing the net when I found this: ANOTHER LOOKALIKES PAGE!!! Now this makes me kinda sad, but its also kinda cool cuz we both came up with the same idea.