From The Internet Movie Plane Database
Edward Norton (The Narrator)
Brad Pitt (Tyler Durden)
Helena Bonham Carter (Marla Singer)
Meat Loaf (Robert 'Bob' Paulson)
Jared Leto (Angel Face)
"The first rule of Fight Club is you do not talk about Fight Club. The second rule of Fight Club is you DO NOT talk about Fight Club!"
The planes below appear during the montage where the Narrator travels around the country looking for Tyler.
First one is either an A320 or A319 of US Airways.
MD-11 of American Airlines
The Narrator dreams about this small jet colliding with the plane he's in (probably CGI).
The plane the narrator is travelling in when he dreams of a mid-air collision and wakes up to meet Tyler Durden for the first time. Presumably filmed in a plane interior set with CGI used for the collision scene.