One thing Raimi's movies have over most superhero franchises (or even most franchises maybe) is consistency with the cast, crew, and music etc.
Sadly, even if it was for the better, it sucks when watching movie series like Batman Begins and Iron Man when a character is recast in the next one. I love Cheadle more than Howard for sure, but it is kind of an awkward jump. It is hard to imagine a trilogy video tribute or a tribute poster knowing that a character was played by someone different. It makes their development a bit odd too. I feel like Rhodes is a completely different character than he was in Iron Man 1.
Raimi's series thankfully had no recasts, or at least none that were BIG. They almost lost Tobey for Spider-Man 2 and that would have been unfortunate, maybe even have broken the series. It is nice that not even MJ or Harry were recast, or Aunt May. I cannot imagine any of the movies without one of those actors or someone else playing the role.
Raimi's also has a consistent musical score. The same theme stayed. The only other big superhero franchise to do this is Nolan's Batman and now Avengers. Iron Man, X-Men, Thor, Captain America etc have all had different (but in my opinion, all great) themes in their movies. Civil War kept some of the Winter Soldier stuff but the Captain America theme didn't really come back, and of course both sequels were completely different than the first movie's soundtrack (aside from the theme showing up in Winter Soldier for a bit)
X-Men movies have all had fantastic scores, but John Ottman's X2 theme coming back in Days of Future Past and Apocalypse is the most consistency they have had.
Elfman's theme is very prominent in ALL three Spider-Man films, even if he didn't come back for the third, and I love that it is so prominent. The main titles in each movie really help tie them together, much like the way Star Wars has with their movies.
Again, consistency. It feels truly like they all fit together. Same director, same cast, mostly the same crew, same look, same poster designs, same costume designer etc. Only the Raimi Spider-Man trilogy and the Nolan Batman trilogy have this effect with me.