The only current possibility to train as a Private Cosmonaut is in Star City, at the Gagarin Cosmonaut Training Center (GCTC) in Moscow, Russia.
The list of available training modules is impressive !
Flight in Mig-29, Zero-G flight, Sokol and Orlan spacesuits training, spacewalk simulation in the hydrolab, centrifugal, etc.
Everything is possible with a good physical condition and the corresponding budget.
Here is a list of what I have lived and tested so far :
In command of a Military Russian Fighter, the Sukhoï-27 Flanker.
Zero-G Flight in the Ilyushin-76 MDK (10 parabolic flights of 25-28 seconds of weightlessness each).
Instruction in scale model 1/1 of the Space Station MIR.
Instruction in scale model 1/1 of ISS International Space Station.
Training of the vestibular system on the rotating chair (30 turns per minute).
Simulator for docking a Soyuz capsule to the ISS.
Training on the Sokol spacesuit.
Soyuz simulators hall visit.
Visit of the International Space Station hall.
Visit of the MIR Space Station hall.
Medical visits by the Gagarin Cosmonaut Training Center physicians.
Photo Copyright by L’Illustré. Photograph Blaise Kormann.
Virtual Flight Simulator of the Mi-8 Heavy Helicopter.
Virtual Flight Simulator of the Boeing 737-500.
In command of a Training Jet Let-39.
Fly on board a Swiss military training aircraft Pilatus PC7
Fly on board a Swiss military training aircraft Pilatus PC7