The Beatles played at the Seattle Coliseum on August 21 1964 as part of their first North American Tour. The entire show exists; as well as the arrival and departure interviews and chat with some of the members and the audience. A bit of the press conference is also available.
As far as the music performed, the Beatles essentially played the same set list every night on this tour. For Seattle, the songs performed included the following: "Twist And Shout/ You Can't Do That/ All My Loving/ She Loves You/ Things We Said Today/ Roll Over Beethoven/ Can't Buy Me Love/ If I Fell/ I Want To Hold Your Hand/ Boys/ A Hard Day's Night/ Long Tall Sally".
This particular show has a lot of noise and screaming during the audio and is not recommended as the best recording of the tour. The future shows available are much better. You can find the show on CD bootlegs such as "Atlanta/Munich/Seattle" and "Northwest Nights".
I've included some chat and interview material below from the "youtube" channel. You can also see some chapters of songs with the audio from the above bootlegs interspersed within the site.