I have noted in the list below which sport the movie is about, as well as including my star rating. Movies with tenuous or tangential sports connections are so noted. "Sports" is interpreted fairly broadly to included some non-athletic competitive endeavors (pool, chess, and debate).
(NOTE: Dates covered are mid-1983 through 1996. I didn't start using stars until late 1989, so ratings for movies older than that have been added after the fact. Also, I did not write as many reviews as Siskel & Ebert. These are definitely NOT the only sports movies, or the best sports movies, to come out during this period; they're just the ones I have reviews for.)
AIR UP THERE, THE. Basketball. 
ALIVE. Rugby (tenuous).
ALL THE RIGHT MOVES. Football. 
ASPEN EXTREME. Skiing. 
BEST OF TIMES. Football (tangential).
BIG BLUE. Free diving (without air tanks).
BLUE CHIPS. Basketball.
BULL DURHAM. Baseball.
COLOR OF MONEY, THE. Pool.
COOL RUNNINGS. Bobsledding/Olympics.
D2: THE MIGHTY DUCKS. Hockey. 
DROP ZONE. Sky-diving.
EDDIE. Basketball.
EVERYBODY'S ALL-AMERICAN. Football (tangential).
HOTDOG. Skiing.
KARATE KID, THE. Karate.
KARATE KID II, THE. Karate.
LISTEN TO ME. Debate.
LITTLE BIG LEAGUE. Baseball.
MAJOR LEAGUE. Baseball.
MIGHTY DUCKS, THE. Hockey.
NATURAL, THE. Baseball.
PHAR LAP. Horse racing.
RIVER RUNS THROUGH IT, A Fishing.
ROOKIE OF THE YEAR. Baseball.
SEARCHING FOR BOBBY FISCHER. Chess.
SHOOT TO KILL. Backpacking.
STEALING HOME. Baseball.
STRANGE BREW. Hockey.
STREETS OF GOLD. Boxing.
SUNSET PARK. Basketball.
SYLVESTER . Equestrian.
TIN CUP. Golf.