Yes.
In the 1950s, the Browns played in 7 NFL Championship games and won 3 times. The Lions played in 4 NFL Championship games and won 3 times. The Browns played the Lions in the championship game in 1952, 1953, 1954, and 1957 with the Lions winning in 1952, 1953, and 1957 and the Browns winning in 1954.
Neither team has played in a Super Bowl.
* December 15, 1935: Detroit Lions - 26 New York Giants - 7* December 28, 1952: Detroit Lions - 17 Cleveland Browns - 7* December 27, 1953: Detroit Lions - 17 Cleveland Browns - 16* December 26, 1954: Cleveland Browns - 56 Detroit Lions - 10* December 29, 1957: Detroit Lions - 59 Cleveland Browns - 14NFC Conference Championship game - January 12, 1992 (Washington Redskins - 41 Detroit Lions - 10)
The Detroit Lions and Cleveland Browns went to the 1957 NFL championship, and the Detroit Lions won 59-14.
Cleveland Browns last won the NFL Championship in 1964
The Cleveland Browns appeared in 6 NFL Championship games in a row from 1950-1955. They went 3-3 in NFL Championship games.The Browns string of title games actually stretched to ten games, having appeared in (and won) all four Championship games in the now defunct AAFC (All American Football Conference [1946-1949]). The NFL Championship Game was the league championship before the advent of the Super Bowl era.The Browns incredible Championship run:1955 NFL Cleveland Browns 9-2-1, defeated the Los Angeles Rams 38-141954 NFL Cleveland Browns 9-3, defeated the Detroit Lions 58-101953 NFL Cleveland Browns 11-1, lost to the Detroit Lions 17-161952 NFL Cleveland Browns 8-4, lost to the Detroit Lions 17-71951 NFL Cleveland Browns 11-1, lost to the Los Angeles Rams 24-171950 NFL Cleveland Browns 10-2, defeated the Los Angeles Rams 30-281949 AAFC Cleveland Browns 9-1-2, defeated the San Francisco 49ers 21-71948 AAFC Cleveland Browns 14-0, defeated the Buffalo Bills* 49-71947 AAFC Cleveland Browns 12-1-1, defeated the New York Yankees 14-31946 AAFC Cleveland Browns 12-2, defeated the New York Yankees 14-9* - Not the Buffalo Bills organization that is in the NFL today.
The cast of 1957 NFL Championship Game - 1957 includes: Terry Barr as himself Pete Brewster as Himself - Cleveland Browns End Jim Brown as Himself - Cleveland Browns Fullback Milt Campbell as Himself - Cleveland Browns Halfback Stan Campbell as Himself - Detroit Lions Guard Preston Carpenter as Himself - Cleveland Browns End Lew Carpenter as Himself - Cleveland Browns Halfback Howard Cassady as Himself - Detroit Lions Halfback Jack Christiansen as Himself - Detroit Lions Defensive Back Don Colo as Himself - Cleveland Browns Defensive Tackle Vince Costello as Himself - Cleveland Browns Linebacker Lou Creekmur as Himself - Detroit Lions Tackle Gene Cronin as Himself - Detroit Lions Defensive End Galen Fiss as Himself - Cleveland Browns Linebacker Len Ford as Himself - Cleveland Browns Defensive End Herschel Forester as Himself - Cleveland Browns Guard Bob Gain as Himself - Cleveland Browns Defensive Tackle Frank Gatski as Himself - Detroit Lions Center Gene Gedman as Himself - Detroit Lions Halfback Lou Groza as Himself - Cleveland Browns Tackle Chet Hanulak as Himself - Cleveland Browns Halfback Art Hunter as Himself - Cleveland Browns Center Steve Junker as Himself - Detroit Lions End Carl Karilivacz as Himself - Detroit Lions Defensive Back Ken Konz as Himself - Cleveland Browns Defensive Back Ray Krouse as Himself - Detroit Lions Defensive Tackle Warren Lahr as Himself - Cleveland Browns Defensive Back Yale Lary as Himself - Detroit Lions Defensive Back Gil Mains as Himself - Detroit Lions Defensive End Darris McCord as Himself - Detroit Lions Defensive End Walt Michaels as Himself - Cleveland Browns Linebacker Van Patrick as Himself - Play-by-Play Announcer Gerry Perry as himself Milt Plum as Himself - Cleveland Browns Quarterback Jerry Reichow as Himself - Detroit Lions Wide Receiver Tobin Rote as Himself - Detroit Lions Quarterback Joe Schmidt as Himself - Detroit Lions Linebacker Harley Sewell as Himself - Detroit Lions Guard Tom Tracy as Himself - Detroit Lions Halfback Junior Wren as Himself - Cleveland Browns Defensive Back Roger Zatkoff as Himself - Detroit Lions Linebacker
1953. The Lions went 10-2 (.833 winning percentage) in 1953 and won the NFL championship, defeating the Cleveland Browns in the championship game.
Gene Hickerson has: Played Himself - Cleveland Browns Guard in "The NFL on CBS" in 1956. Played Himself - Cleveland Browns Guard in "1964 NFL Championship Game" in 1964. Played Himself - Cleveland Browns Guard in "1965 NFL Championship Game" in 1966. Played Himself - Cleveland Browns Guard in "1968 NFL Championship Game" in 1968. Played Himself - Cleveland Browns Guard in "1969 NFL Championship Game" in 1970.
Cleveland Browns, Houston Texans, Jacksonville Jaguars, & Detroit Lions
Frank Minnifield has: Played Himself - Cleveland Browns Cornerback in "The NFL on NBC" in 1965. Played Himself - Cleveland Browns Cornerback in "NFL Monday Night Football" in 1970. Played Himself - Cleveland Browns Cornerback in "1986 AFC Championship Game" in 1987. Played Himself - Cleveland Browns Cornerback in "1987 AFC Championship Game" in 1988. Played Himself - Cleveland Browns Cornerback in "1989 AFC Championship Game" in 1990.
Blanton Collier has: Played Himself - Cleveland Browns Head Coach in "The NFL on CBS" in 1956. Played Himself - Cleveland Browns Head Coach in "1964 NFL Championship Game" in 1964. Played Himself - Cleveland Browns Head Coach in "The NFL on NBC" in 1965. Played Himself - Cleveland Browns Head Coach in "1965 NFL Championship Game" in 1966. Played Himself - Cleveland Browns Head Coach in "1968 NFL Championship Game" in 1968. Played Himself - Cleveland Browns Head Coach in "1969 NFL Championship Game" in 1970. Played Himself - Cleveland Browns Head Coach in "NFL Monday Night Football" in 1970.
Detroit Lions and Cleveland Browns in 1952, 1953, and 1954. The Lions won in 1952 and 1953 and the Browns won in 1954.
Monte Clark has: Played Himself - Detroit Lions Head Coach in "The NFL on CBS" in 1956. Played Himself - Cleveland Browns Tackle in "1964 NFL Championship Game" in 1964. Played Himself - Miami Dolphins Offensive Coordinator in "The NFL on NBC" in 1965. Played Himself - Detroit Lions Head Coach in "The NFL on NBC" in 1965. Played Himself - Cleveland Browns Tackle in "1965 NFL Championship Game" in 1966. Played Himself - Cleveland Browns Tackle in "1968 NFL Championship Game" in 1968. Played Himself - Cleveland Browns Tackle in "1969 NFL Championship Game" in 1970. Played Himself - Detroit Lions Head Coach in "NFL Monday Night Football" in 1970. Played Himself - San Francisco 49ers Head Coach in "NFL Monday Night Football" in 1970.