He tied for 3rd–6th with Evgeny Gleizerov, Yuriy Kuzubov and Pia Cramling in the Rilton Cup 2008/2009.

[1] In 2011 he tied for 2nd–7th with Deep Sengupta, Viacheslav Zakhartsov, Krisztián Szabó, Lev Gutman, Samuel Shankland and Maxim Turov in the ZMDI Schachfestival in Dresden.

[2] In 2014 Bérczes tied for 1st–5th with Timur Gareev, Sergei Azarov, Daniel Naroditsky and Sam Shankland in the Millionaire Chess Open in Las Vegas, Nevada.

[3] His elder brother Csaba Bérczes is also a chess player, an International Master.

In March 2019, Berczes earned clear first place in the Charlotte Chess Center's Spring 2019 GM Norm Invitational held in Charlotte, North Carolina with an undefeated score of 6.5/9.