Minibaev's first major international medal came in the men's synchronized 10 metre platform event at the 2010 European Championships.

[2] With Artem Chesakov, Minibaev won silver at the 2013 World Championships in the men's synchronised 10 m platform event.

[4] In 2015, in a World Championships on home ground in Kazan, Minibaev won a bronze medal in that event with Roman Izmailov.

[3] At the European Championships that year, he again won gold in the mixed team event, and silver in the men's 10 m platform.

[2] In 2017, he won World Championship men's synchronised 10 m platform silver again, this time with Aleksandr Bondar.