During the spoof of From Here to Eternity's famous beach scene, Imogene Coca has to turn away from the camera twice because she's laughing so hard after offstage crew members start throwing buckets of water on her and Sid Caesar to simulate the crashing waves.
In "From Here to Obscurity", Carl Reiner(Sarge) tells Howard Morris(Frankie), "I'm bidin' my time, 'cause that's the kinda guy I'm!", which is actually a lyric from "Bidin' My Time" by George and Ira Gershwin.
In the sketch "From Here to Obscurity", the song that Montgomery Bugle plays when he enters or sees the Duchess is "You Made Me Love You", in the style of Harry James, which was a hit in 1942.
From Here to Obscurity is a parody of the hit movie "From Here to Eternity". Sid Caesar is Montgomery Bugle which is a play on one of the stars of the movie, Montgomery Clift.