One of the first true great football games was Tecmo Super Bowl. You could play a full season and choose from several different offensive or defensive plays. Although it does not rival the Madden series for complexity or realism, Tecmo Super Bowl was the first realistic football game.
Tecmo Super Bowl was first released on the NES system. This sequel to Tecmo Bowl provided you with all the NFL teams and allowed you to play a complete season including the playoffs. They also released a version for the Super Nintendo and the Sega Genesis. Although I first played the game on the NES, I spent more time playing it on the Sega Genesis. The Houston Oilers were a stronger team on the Genesis version and I spent a lot of time developing my skills.
Going to the Super Bowl with the Oilers is not too difficult. The Oilers had a great passing attack at that time and it showed on the Genesis version. Although Lorenzo White was a decent running back, the running game was not very strong. Changing the running plays to pitch left or pitch right will help keep the defense honest. The Oilers used a lot of 4 wideout schemes and this will help you on the passing attacks. If you are playing the computer, it has a difficult time covering 4 receivers and you should be able to find an open man. Practice at changing receivers and you should be able to put up some big points. The defense is good, but not great. You will find yourself playing the game to outscore your opponent; not to shut him down. Memorize the passing plays and you will be on your way to the Super Bowl.