The Diamond Arm (1969)
In a dream sequence a hand comes alive and starts a fight with Kozodoev, in the same way as Peter Sellers has a fight with his own hand in "Dr. Strangelove".
The drunk guy, played by Leonid Gaidai, taken by policemen, is briefly singing "The bear song", just like Georgi Vitzin did in the older movie
The scene where bad guys' car is grabbed by the helicopter using a big magnet is copied from James Bond movie, including funny moment that bad guys keep trying to steer while being in the air
Poster advertisement seen in one of the scenes
Ivan IV is listening to the "Hare's Song" from this movie on the tape-player.
title mentioned by lead character
one of the songs playing in the background goes, "ne vinovataya ya" ("it's not my fault"), which is a quote from 'Brilliantovaya ruka'