1. San Francisco 49ers, NFC, 16: 1970, 1971, 1981, 1983, 1984, 1988, 1989, 1990, 1992, 1993, 1994, 1997, 2011, 2012, 2013 and 2019. Thus do they surpass...
2. Pittsburgh Steelers, all in the AFC, 16: 1972, 1974, 1975, 1976, 1978, 1979, 1984, 1994, 1995, 1997, 2001, 2004, 2005, 2008, 2010 and 2016. Despite the fact that they lead their respective conferences, the 49ers and the Steelers have never played each other in a Super Bowl.
3. New England Patriots, AFC, 15: 1985, 1996, 2001, 2003, 2004, 2006, 2007, 2011, 2012, 2013, 2014, 2015, 2016, 2017 and 2018.
4. Dallas Cowboys, NFC, 14: 1970, 1971, 1972, 1973, 1975, 1977, 1978, 1980, 1981, 1982, 1992, 1993, 1994 and 1995.
5. Oakland/Los Angeles Raiders, AFC, 11: 1970, 1973, 1974, 1975, 1976, 1977, 1980, 1983, 1990, 2000 and 2002.
6. St. Louis/Los Angeles Rams, NFC, 10: 1974, 1975, 1976, 1978, 1979, 1985, 1989, 1999, 2001 and 2018.
7. Denver Broncos, AFC, 10: 1977, 1986, 1987, 1989, 1991, 1997, 1998, 2005, 2013 and 2015.
8. Minnesota Vikings, NFC, 9: 1973, 1974, 1976, 1977, 1987, 1998, 2000, 2009 and 2017.
9. Green Bay Packers, NFC, 8: 1995, 1996, 1997, 2007, 2010, 2014, 2016 and 2019.
10. Philadelphia Eagles, NFC, 7: 1980, 2001, 2002, 2003, 2004, 2008 and 2017.
11. Baltimore/Indianapolis Colts, AFC, 7: 1970, 1971, 1995, 2003, 2006, 2009 and 2014.
12. Miami Dolphins, AFC, 7: 1971, 1972, 1973, 1982, 1984, 1985 and 1992.
13. Washington Redskins, NFC, 6: 1972, 1982, 1983, 1986, 1987 and 1991.
14. Houston Oilers/Tennessee Titans, AFC, 5: 1978, 1979, 1999, 2002 and 2019.
15. New York Giants, NFC, 5: 1986, 1990, 2000, 2007 and 2011.
16. Chicago Bears, NFC, 5: 1984, 1985, 1988, 2006 and 2010.
17. Buffalo Bills, AFC, 5: 1988, 1990, 1991, 1992 and 1993.
18. Atlanta Falcons, NFC, 4: 1998, 2004, 2012 and 2016.
19. Carolina Panthers, NFC, 4: 1996, 2003, 2005 and 2015.
20. Seattle Seahawks, 4: 1983 in the AFC; in the NFC, 2005, 2013 and 2014.
21. Baltimore Ravens, 4: 2000, 2008, 2011 and 2012.
22. New York Jets, AFC, 4: 1982, 1998, 2009 and 2010.
23. San Diego/Los Angeles Chargers, AFC, 4: 1980, 1981, 1994 and 2007.
24. Kansas City Chiefs, AFC, 3: 1993, 2018 and 2019.
25. New Orleans Saints, NFC, 3: 2006, 2009 and 2018.
26. Jacksonville Jaguars, AFC, 3: 1996, 1999 and 2017.
27. Tampa Bay Buccaneers, NFC, 3 1979, 1999 and 2002.
28. Cleveland Browns, AFC, 3: 1986, 1987 and 1989.
29. Arizona Cardinals, NFC, 2: 2008 and 2015.
30. Cincinnati Bengals, AFC, 2: 1981 and 1988.
31. Detroit Lions, NFC, 1: 1991.
32. Houston Texans, in the AFC, the only team that has never reached a Conference Championship Game.
*
If you count all leagues:
1. New York Giants, 19: NFL in 1933, 1934, 1935, 1938, 1939, 1941, 1944, 1946, 1956, 1958, 1959, 1961, 1962 and 1963; NFC in 1986, 1990, 2000, 2007 and 2011.
2. Cleveland Browns, 18: AAFC in 1946, 1947, 1948 and 1949; NFL in 1950, 1951, 1952, 1953, 1954, 1955, 1957, 1964, 1965, 1968 and 1969; AFC in 1986, 1987 and 1989.
3. Green Bay Packers, 17: NFL in 1936, 1938, 1939, 1944, 1961, 1962, 1965, 1966 and 1967; NFC in 1995, 1996, 1997, 2007, 2010, 2014, 2016 and 2019.
4. San Francisco 49ers, 17: AAFC in 1949; NFL in 1970, 1971, 1981, 1983, 1984, 1988, 1989, 1990, 1992, 1993, 1994, 1997, 2011, 2012, 2013 and 2019.
5. New England Patriots, 16: AFL (as "Boston Patriots") in 1963; AFC in 1985, 1996, 2001, 2003, 2004, 2006, 2007, 2011, 2012, 2013, 2014, 2015, 2016, 2017 and 2018.
6. Pittsburgh Steelers, 16: AFC in 1972, 1974, 1975, 1976, 1978, 1979, 1984, 1994, 1995, 1997, 2001, 2004, 2005, 2008, 2010 and 2016.
7. Chicago Bears, 16: NFL in 1932, 1933, 1934, 1937, 1940, 1941, 1942, 1943, 1946, 1956 and 1963; NFC in 1984, 1985, 1988, 2006 and 2010.
8. Dallas Cowboys, 16: NFL in 1967 and 1968; NFC in 1970, 1971, 1972, 1973, 1975, 1977, 1978, 1980, 1981, 1982, 1992, 1993, 1994 and 1995.
9. Cleveland/St. Louis/Los Angeles Rams, 15: NFL in Cleveland in 1945; NFL in Los Angeles in 1950, 1951 and 1955; NFC in Los Angeles in 1974, 1975, 1976, 1978, 1979, 1985 and 1989; NFC in St. Louis in 1999 and 2001; NFC back in Los Angeles in 2018.
10. Oakland/Los Angeles Raiders, 14: AFL in Oakland in 1967, 1968 and 1969; AFC in Oakland in 1970, 1973, 1974, 1975, 1976, 1977 and 1980; AFC in Los Angeles in 1983 and 1990; AFC in Oakland again in 2000 and 2002.
11. Boston/Washington Redskins, 12: NFL in Boston in 1936; NFL in Washington in 1937, 1940, 1942, 1943 and 1945; NFC in 1972, 1982, 1983, 1986, 1987 and 1991.
12. Minnesota Vikings, 11: NFL in 1968 and 1969; NFC in 1973, 1974, 1976, 1977, 1987, 1998, 2000, 2009 and 2017.
13. Philadelphia Eagles, 11: NFL in 1947, 1948, 1949 and 1960; NFC in 1980, 2001, 2002, 2003, 2004, 2008 and 2017.
14. Baltimore/Indianapolis Colts, 11: NFL in Baltimore in 1958, 1959, 1964 and 1968; AFC in Baltimore in 1970 and 1971; AFC in Indianapolis in 1995, 2003, 2006, 2009 and 2014.
15. Denver Broncos, 10: AFC in 1977, 1986, 1989, 1991, 1997, 1998, 2005, 2013 and 2015.
16. Houston Oilers/Tennessee Titans, 9: AFL in Houston in 1960, 1961, 1962 and 1967; AFC in Houston in 1978 and 1979; AFC in Nashville in 1999, 2002 and 2019.
17. San Diego/Los Angeles Chargers, 9: AFL in Los Angeles in 1960; AFL in San Diego in 1961, 1963, 1964 and 1965; AFC in San Diego in 1980, 1981, 1994 and 2007; not again since returning to Los Angeles.
18. Buffalo Bills, 8: AFL in 1964, 1965 and 1966; AFC in 1988, 1990, 1991, 1992 and 1993.
18. Buffalo Bills, 8: AFL in 1964, 1965 and 1966; AFC in 1988, 1990, 1991, 1992 and 1993.
19. Miami Dolphins, 7: AFC in 1971, 1972, 1973, 1982, 1984, 1985 and 1992.
20. Portsmouth Spartans/Detroit Lions, 7: NFL in Portsmouth in 1932; NFL in Detroit in 1935, 1952, 1953, 1954 and 1957; NFC in 1991.
21. Dallas Texans/Kansas City Chiefs, 6: AFL in Dallas in 1962; AFL in Kansas City in 1966 and 1969; AFC in 1993, 2018 and 2019.
22. New York Jets, 5: AFL in 1968; AFC in 1982, 1998, 2009 and 2010.
23. Atlanta Falcons, 4: NFC in 1998, 2004, 2012 and 2016.
24. Carolina Panthers, 4: NFC in 1996, 2003, 2005 and 2015.
25. Chicago/St. Louis/Arizona Cardinals, 4: NFL in Chicago in 1947 and 1948; none in St. Louis; NFC in Arizona in 2008 and 2015.
26. Seattle Seahawks, 4: AFC in 1983; NFC in 2005, 2013 and 2014.
27. Baltimore Ravens, 4: AFC in 2000, 2008, 2011 and 2012.
28. New Orleans Saints, 3: NFC in 2006, 2009 and 2018.
29. Jacksonville Jaguars, 3: AFC in 1996, 1999 and 2017.
30. Tampa Bay Buccaneers, 3: NFC in 1979, 1999 and 2002.
31. Cincinnati Bengals, 2: AFC in 1981 and 1988.
32. Houston Texans: None.