if you want to see what came out in a specific year, take a look at
http://www.klov.com. They have a very complete list.
I dunno how good they were, but released in 1983....
Discs of Tron
Donkey Kong 3
elevator action
I, Robot
Jr. Pac Man
Krull
the original Mario Bros (not super for the NES, just mario bros.)
Pole Position II
Spy Hunter
and of course a bunch more, but I only picked the ones I've heard of. I wasn't aware of video games in 83, being 4 years old.
edit:
1986:
Alex Kidd, Darius, Gauntlett II, top gunner, others. I'd go with Alex Kidd, personally.