Well-known players have included: Charlie Bell, Pete Mickeal, Velimir Perasović, José Miguel Antúnez, Alfonso Reyes, Tanoka Beard, Anthony Bonner, Claude Riley, James Donaldson, Greg Foster, James Feldeine, or, most recently, Džanan Musa, Ethan Happ and Justus Hollatz.

Breogán had a bit of a rollercoaster journey between the top division and the lower leagues, and got promoted back to the now named Liga ACB in the 1983–84 season, and qualified for the Korać Cup after finishing in the sixth position in 1984-85, playing against Red Star Belgrade, Pallacanestro Varese and ASVEL Basket.

The club got relegated in the 1986–87 season after the referees allowed Oximesa Granada to score the winning free throws despite the clock having run out of time before the foul.

During this time, Manel Sánchez left the club for good, and Olympic medallist Velimir Perasović was brought as his substitute for the 1992–93 season, its first in the new arena, Pazo dos Deportes.

Great players like Anthony Bonner, former EuroLeague champion Nikola Lončar or Devin Davis played for the club during that time.

They earned a European spot in the 2003–04 season, but ULEB Cup organisers decided to invite Real Madrid instead, even though they finished in a lower position than Breogán.

In the 2005–06 season, Breogán was the last qualified in the table despite having players such as Pete Mickeal or Alfonso Reyes and was relegated to LEB Oro in which would become the club's biggest absence from the top tier - 12 years -.

After winning the Galician Cup against rivals Obradoiro CAB, they won their first two Liga ACB games and visited FC Barcelona Bàsquet as leaders.

In January, head coach Paco Olmos decided to leave the club following an offer from relegation-bound CB San Pablo Burgos and was substituted by Veljko Mršić.

Key additions like Ethan Happ, Scott Bamforth, Toni Nakić and Justus Hollatz, who would later become a World Champion with Germany helped them to achieve a 10th-place finish in the Liga ACB and direct qualification to the 2023-24 edition of the Basketball Champions League, including a sweep against Galician rivals Obradoiro CAB and a 96–72 win against Real Madrid, led by former Breogán player Džanan Musa.

New signings included former Bayern players Zan Mark Sisko and Matej Rudan, former ASVEL player Anthony Polite, the Italian rising star Mouhamet Diouf, Lithuanians Matas Jogėla and Martynas Sajus, the Argentinian center Juan Fernández and former Joventut captain Albert Ventura, but a lot of setbacks quickly started to happen.

Toni Nakić got seriously injured in pre-season, and his replacement Dimitrios Agravanis left the club injured having played just two games, Zan Mark Sisko decided to leave for personal reasons after the first Liga ACB game against Baskonia and got replaced by Conner Frankamp and Anthony Polite suffered an adductor injury which also got him sidelined for a few weeks.

and current Champions Telekom Baskets Bonn were Breogán's rivals in Group F of the Basketball Champions League, in which the Galician club won all three home games and lost their three away games, finishing the group in 3rd place after all the teams finished with a 3–3 record, advancing to the play-in stage, in which they will face Turkish outfit Pinar Karsiyaka.