Further, there's the canard that Nebraska never played any difficult non-conference opponents during the 40-season run (1962 through 2001), during which we played for 10 national championships in bowl games, winning five of those.
You can see by the list below that Nebraska regularly played the majority of its non-conference games against other power conference opponents as well as quality independents such as Penn State prior to its membership in the Big Ten, Miami (Fla.), Air Force and Notre Dame. That's 108 of those games over 40 years, for an average of 2.7 scheduled games per year.
In addition, Nebraska volunteered to play in three Kickoff Classics between 1983 and 1994, pitting themselves against Penn State the year after PSU won the 1982 national title, Texas A&M the year after the Aggie finished No. 10 in 1987, and West Virginia the year after the Mountaineers went undefeated in the regular season.
Bottom line: not only was the Big Eight a consistently top-ranked conference during Nebraska's run — and especially from 1970 through 2001 — but Nebraska regularly challenged itself outside the conference. You'll see a total of 108 non-conference major-conference and independent opponents over those 40 years, for an average of 2.7 games (not counting bowl games) against high-level opposition.
Yeah, we have sucked for the better part of the last six seasons, but don't minimize the earned championships and overall dominance of the Cornhuskers under Devaney, Osborne and even Solich.
Notable non-conference opponents by year (not including bowl games):
Three possible non-con games
1962: Michigan, N.C. State
1963: Minnesota, Air Force (our only loss)
1964: Minnesota, South Carolina
1965: TCU, Air Force, Wisconsin
1966: TCU, Wisconsin
1967: Washington, Minnesota, TCU
1968: Minnesota, Wyoming (a year after their Sugar Bowl team)
1969: USC, Minnesota, Texas A&M
Four possible non-con games (fifth games in 1983, 1988 and 1994)
1970: USC, Minnesota, Wake Forest (a year after winning the ACC)
1971: Oregon, Minnesota, Texas A&M
1972: UCLA, Minnesota, Texas A&M
1973: UCLA, N.C. State, Wisconsin, Minnesota
1974: Oregon, Wisconsin, Minnesota, Northwestern
1975: LSU, Miami (Fla.), TCU, Indiana
1976: LSU, Miami (Fla.), TCU, Indiana
1977: Alabama, Washington State, Baylor, Indiana
1978: Alabama, California, Indiana
1979: Iowa, Penn State
1980: Penn State, Iowa, Florida State
1981: Penn State, Iowa, Florida State, Auburn
1982: Penn State, Iowa, Auburn
1983: Penn State, UCLA, Minnesota, Syracuse
1984: UCLA, Minnesota, Syracuse
1985: Florida State, Oregon, Illinois
1986: Florida State, Oregon, Illinois, South Carolina
1987: UCLA, Arizona State, South Carolina
1988: UCLA, Arizona State, Texas A&M
1989: Minnesota, Oregon State
1990: Baylor, Minnesota, Oregon State
1991: Washington, Arizona State
1992: Washington, Arizona State
1993: Texas Tech, UCLA
1994: Texas Tech, UCLA, West Virginia
1995: Michigan State, Arizona State, Washington State
Three possible non-con games (four games in 1998)
1996: Michigan State, Arizona State
1997: Washington
1998: Washington, California
1999: Iowa, California
2000: Iowa, Notre Dame
2001: Notre Dame