Here is a list of Buday's best fights. For a list of Buday's losses, refer to "Martin Buday Losses".
On August 12, 2023 Martin Buday faced off against Josh Parisian in a heavyweight bout at age 31. He was coming in with a record of 13-1 (9), and Parisian was 34 years old and with a record of 15-6 (13). Buday stopped Josh Parisian via submission.
On August 13, 2022 Martin Buday faced off against Łukasz Brzeski in a heavyweight bout at age 30. He was coming in with a record of 11-1 (8). Buday won the fight via 3-round split decision.
On April 5, 2025 Martin Buday faced off against Uran Satybaldiev in a heavyweight bout at age 33. He was coming in with a record of 15-2 (9). Buday won the fight via 3-round unanimous decision.
On July 26, 2025 Martin Buday faced off against Marcus Buchecha in a heavyweight bout at age 33. He was coming in with a record of 16-2 (9), and Buchecha was 35 years old and with a record of 5-1 (5). Buday won the fight via 3-round unanimous decision.
On April 29, 2023 Martin Buday faced off against Jake Collier in a heavyweight bout at age 31. He was coming in with a record of 12-1 (8), and Collier was 34 years old and with a record of 13-8 (9). Buday won the fight via 3-round unanimous decision.
On June 29, 2024 Martin Buday faced off against Andrei Arlovski in a heavyweight bout at age 32. He was coming in with a record of 14-2 (9), and Arlovski was 45 years old and with a record of 34-23 (20). Buday won the fight via 3-round split decision.
On April 16, 2022 Martin Buday faced off against Chris Barnett in a heavyweight bout at age 30. He was coming in with a record of 10-1 (8), and Barnett was 35 years old and with a record of 22-7 (17). Buday won the fight via 3-round unanimous decision.