If you are a Disney+ subscriber take a look at the cartoons section of the Marvel area and you will find classic Marvel cartoons. One cartoon was a lucky find for me when I discovered The Amazing Spider-Man which debuted in 1981. I found the cartoon to be full of fun and action and loads of awesomeness. This Spider-Man cartoon does NOT use the original theme song but for a cartoon made in 1981 it is the classic Marvel cartoon that shows Spider-Man at his best
Bestie

What about the one from 90s? That one I loved.

The 1960s (eariiest) Marvel animated series had great theme songs, very memorable -- however, and it's a big however, most serious comics fans are very quick to point out their limitations and shortcomings. Some episodes were pretty bad, I'm sorry to say. The 1981 series "Spider-Man and His Amazing Friends" was noteworthy for the debut of Marvel's then-new female character Firestar.

The 1981 Spiderman was originally broadcast alongside Spiderman and His Amazing Friends as a spin-off That focuses on Spiderman without his friends (Firestar & Iceman).
These early 80s Marvel cartoons are chock full of cheesy fun, I recommend the 1979 Spider Woman series and the 1982 Incredible Hulk series.

But obviously the 1994 Spiderman and 1992 X-Men cartoons are THE definitive Marvel cartoons. 2010's The Avengers: Earths Mightiest Heroes is really good as well.

And if you're interested in seeing really OBSCURE Marvel characters animated, check out the Japanese exclusive series, Avengers: Disk Wars. Although the plot to the series is flat out stupid (imagine Pokemon crossed with Marvel)