So let’s take a closer look at the 1995 Nebraska team.
In the regular season they played 7 games against teams that did not have a winning record (6 P-5 schools and one non P-5 school). Four opposing teams in the regular season had a winning record. One of the remaining teams was a 6-5 Arizona State. The remaining 3 regular season opponents were each 10-2. But there is less here than meets the eye. Kansas was 10-2. Kansas played 4 non P-5 schools and only 3 P-5 teams that had a winning record. Kansas lost to 2 of those 3. The bowl game was against a non P5 school. Kansas State played 4 non P-5 schools in the regular season and only 3 P-5 schools with a winning record, and lost 2 of the 3. Colorado was somewhat better, playing 2 non P-5 schools. They played 4 P-5 teams in the regular season with a winning record and lost 2 of them. Kansas State defeated non-P5 Colorado State in a bowl game. Kansas defeated UCLA, and Colorado defeated Oregon in their bowl games.
Nebraska concluded the season with a romp over 12-1 Florida, SEC champions.
Nebraska played 5 opposing teams in the entire season with a winning record.

LSU played 5 P-5 teams with a winning record in the regular season and 2 non P-5 teams with a winning record. They played 4 P-5 teams with a losing record, and one non P-5 team with a losing record. They played 6 P-5 teams that won at least 8 games in the regular season, including 2 teams that were 10-2, one that was 9-4 and two that were 8-5. In the post season they played 3 more teams with 10 or more wins, Georgia, 13-2, Oklahoma, 13-2, and Clemson 14-1. Of the teams with a winning record in the regular season that LSU defeated: Alabama played 4 P-5 teams with a winning record and lost 2. Florida played 4 teams with a winning record and lost 2. Texas A&M played 5 P-5 teams with a winning record in the regular season and lost all of them (against the toughest regular season in the country). Auburn played 6 teams with a winning record in the regular season and lost 3. Texas played 6 P-5 teams with a winning record and won 2. In bowl games, Alabama defeated Michigan, Auburn lost to Minnesota, Florida defeated Virginia, Texas A&M defeated Oklahoma State, and Texas defeated Utah. Georgia defeated Baylor, Oklahoma defeated Baylor in the Big XII conference championship, Clemson defeated Virginia in the ACC conference championship and Ohio State, Big 10 conference champions, in the CFP semi-finals.

LSU played 8 P-5 teams with a winning record over the course of the season, including the champions of the Big XII and the ACC (which had defeated the Big 10 champion), and the SEC East division champion. LSU defeated 5 of the top 8 teams in the final AP.

It is pretty clear that LSU played a higher level of competition based on the teams played than Nebraska did. While It is certainly a defensible position that Nebraska 1995 was the best team ever, it is a very debatable point. Nebraska had big margins of victories but even the best teams they played were not a strong as it would appear at first glance, Florida being the exception and the margin isn’t that significant a factor when both Nebraska and LSU pretty much dominiated the championship games.