If you're going to go back 83 years to make your point, I get to use the teams that existed over the course of those 83 years.
As for your comment about championship appearances, or top-2 finishes not mattering in your book, they are very important in record books.
1st is the best, 16/17th is average. (I didn't do 17-32 for time constraints but 16/17 is average, not worst.)
Championships Per Eligible Season
1. Packers (1929-2018) - 13 Championships in 89 seasons. (6.9)
2. Patriots (1967-2018) - 6 Championships in 51 seasons. (8.5)
3. Bears (1929-2018) - 9 Championships in 89 seasons. (9.9)
4. Giants (1929-2018) - 8 Championships in 89 seasons. (11.1)
5. Cowboys (1960-2018) - 5 Championships in 58 seasons. (11.6)
6. 49ers (1950-2018) - 5 Championships in 68 seasons. (13.6)
7. Steelers (1933-2018) - 6 Championships in 85 seasons. (14.2)
8. Colts (1953-2018) - 4 Championships in 65 seasons. (16.3)
9. Browns (1950-2018) - 4 Championships in 68 seasons. (17)
10. Broncos (1967-2018) - 3 Championships in 51 seasons. (17)
11. Raiders (1967-2018) - 3 Championships in 51 seasons. (17)
12. Redskins (1932-2018) - 5 Championships in 86 seasons. (17.2)
13. Eagles (1933-2018) - 4 Championships in 85 seasons. (21.3)
14. Lions (1930-2018) - 4 Championships in 88 seasons. (22)
15. Dolphins (1967-2018) - 2 Championships in 51 seasons. (25.5)
16. Rams (1936-2018) - 3 Championships in 82 seasons. (27.3)
Top-2 Finishes Per Eligible Season
1. Giants (1929-2018) - 22 Top-2s in 89 seasons. (4.0)
2. Patriots (1967-2018) - 11 Top-2s in 51 seasons. (4.6)
3. Bears (1929-2018) - 19 Top-2s in 89 seasons. (4.7)
4. Packers (1929-2018) - 18 Top-2s in 89 seasons. (4.9)
5. Broncos (1967-2018) - 8 Top-2s in 51 seasons. (6.4)
6. Cowboys (1960-2018) - 8 Top-2s in 58 seasons. (7.3)
7. Browns (1950-2018) - 9 Top-2s in 68 seasons. (7.6)
8. Redskins (1932-2018) - 11 Top-2s in 86 seasons. (7.8)
9. Colts (1953-2018) - 7 Top-2s in 65 seasons. (9.3)
10. Raiders (1967-2018) - 5 Top-2s in 51 seasons. (10.2
11. Dolphins (1967-2018) - 5 Top-2s in 51 seasons. (10.2
12. Steelers (1933-2018) - 8 Top-2s in 85 seasons. (10.6)
13. 49ers (1950-2018) - 6 Top-2s in 68 seasons. (11.3)
14. Eagles (1933-2018) - 7 Top-2s in 85 seasons. (12.1)
15. Rams (1936-2018) - 6 Top-2s in 82 seasons. (13.7)
16. Lions (1930-2018) - 6 Top-2s in 88 seasons. (14.7)
1st is the best, 4th/5th is average, 8th is worst.
Legacy Teams (Pre-1940) Championships Per Eligible Season
1. Packers (1929-2018) - 13 Championships in 89 seasons. (6.9)
2. Bears (1929-2018) - 9 Championships in 89 seasons. (9.9)
3. Giants (1929-2018) - 8 Championships in 89 seasons. (11.1)
4. Steelers (1933-2018) - 6 Championships in 85 seasons. (14.2)
5. Redskins (1932-2018) - 5 Championships in 86 seasons. (17.2)
6. Eagles (1933-2018) - 4 Championships in 85 seasons. (21.3)
7. Lions (1930-2018) - 4 Championships in 88 seasons. (22)
8. Rams (1936-2018) - 3 Championships in 82 seasons. (27.3)
Legacy Teams (Pre-1940) Top-2 Finishes Per Eligible Season
1. Giants (1929-2018) - 22 Top-2s in 89 seasons. (4.0)
2. Bears (1929-2018) - 19 Top-2s in 89 seasons. (4.7)
3. Packers (1929-2018) - 18 Top-2s in 89 seasons. (4.9)
4. Redskins (1932-2018) - 11 Top-2s in 86 seasons. (7.8)
5. Steelers (1933-2018) - 8 Top-2s in 85 seasons. (10.6)
6. Eagles (1933-2018) - 7 Top-2s in 85 seasons. (12.1)
7. Rams (1936-2018) - 6 Top-2s in 82 seasons. (13.7)
8. Lions (1930-2018) - 6 Top-2s in 88 seasons. (14.7)