The Diamond Arm (1969)
The scene where Lyolik and Kozodoev are working on the plan in the restaurant and sing "Letyat utki" is a reference to a equal scene with from the earlier movie, where Chapayev sings "Tchernyj voron" instead.
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
In the hotel scene with Saakov, when a young lady comes along, the song "Pomogi mne" from the older movie can be heard
DVD on the shelf.
The first scene, in which Nemzov and Tchubays are trying to beat Ghirinovski is a direct spoof of a scene from the second part of "The Diamant Arm"
one of the songs playing in the background goes, "ne vinovataya ya" ("it's not my fault"), which is a quote from 'Brilliantovaya ruka'