Di Mame is Gegangen in Mark Areyn by Kapelye, or even Itzhak Perlman
Wedding Dance by Bock & Harnick, cut from the original version of Fiddler on the Roof, but now available on newer recordings of the original cast album.
Rumania, Rumania – by just about everyone. I love the Eartha Kitt version.
Hava Nagila by Harry Belafonte (Honorary Jew for the purpose of wedding music)
Independence Day Hora by Jerry Herman, from the show Milk & Honey
Lomir Zich Ibereytu – by Shirim Klezmer Orch.
Ot A Zoy – by Cab Calloway (not Jewish, but with a jewish kopf and many jewish influences)
The Unholy Chazir – by the New Orleans Klezmer Band