This list details the club's achievements in all major competitions, and the top scorers for each season (note that only goals scored in league matches are taken into account). Players in bold were also top league scorers that season.
The tables below provide a summary of the club's performance by season in all official competitions, including domestic leagues, cups and European club competitions.
The main source of data is a book by Marinko Lazzarich that documents the history of HNK Rijeka.
^Kvarner qualified for the inaugural season of the Yugoslav First League beating Unione Sportiva Operaia (Pula). US Operaia won the first leg in Rijeka 2–1, but Kvarner won the return leg 4–1 and qualified.
^Kvarner lost to Lokomotiva Zagreb in the relegation playoff (2–3 in Rijeka and 0–1 in Zagreb).
^Kvarner failed to gain promotion to the First Division. In the first round of qualification play-off, Rijeka defeated Slavija Karlovac 3–2 (away) and 10–0 (home). In the second round, it defeated Metalac Zagreb 2–1 away and lost 2–0 at home; and lost to Proleter Osijek both home (0–1) and away (0–3).
^Rijeka remained in the First Division by beating Sloboda Tuzla. Rijeka lost 3–0 in Tuzla, but won the return leg 4–0 to remain in the First Division.
^Rijeka lost to Crvenka in the qualifiers for the First Division (0–0 in Rijeka, and 2–2 in Crvenka, with Crvenka winning 6–5 after penalty shoot-out).
^Rijeka lost to Osijek in the qualifiers for the First Division (1–1 in Osijek and 1–1 in Rijeka, with Osijek winning 6–5 after penalty shoot-out).
^Rijeka lost to Crvenka in the qualifiers for the First Division (0–3 in Crvenka and 1–0 in Rijeka).
^For three consecutive seasons (from 1988–89 to 1990–91), if a league fixture ended in a draw, penalty shoot-outs were used to determine which side will be awarded one point (the losing side did not get a point). In 1988–89, Rijeka did not win any of the 7 penalty shoot-outs after a draw.
^Rijeka won 5 out of 6 penalty shoot-outs after a draw.
^Rijeka won 3 out of 10 penalty shoot-outs after a draw.