I have 3 games to add to the list:
MARIO FIGHTER
Maker: XOXO
Hack of Street fighter 2 the world warriors
Intro screen: yes
Fighting modes: 1p arcade and 2p vs mode
Levels of difficulty: 1
Fighters: 6 (ryu, zangief, chun li, Guile, Mario and M.Bison - misspelled Viga here- )
Fighter select screen: shows big portraits of the fighters and a world map
Vs. screen: yes
Game Over screen: yes, shows hi scores
Notes: Couldn't find the rom nowhere... I think its not dumped yet

. In Argentina It's was a really common cartridge in the mid 90's
STREET FIGHTER 4
Maker: Gouder
Original (but unlicensed)
Intro screen: no
Fighting modes: 1p arcade and 2p vs mode
Levels of difficulty: 1
Fighters: 10 but in fact 5 (Pasta, Long, Bunny, Stallong, Chon, repeated again but with another palette and name) Also features a final boss but don't remember the name.
Fighter select screen: shows small portraits of the fighters
Vs. screen: yes, It's animated and features a nice BGM
Game Over screen: yes
Notes: The game also features some speech (via the famicom 's pcm channeI, though speech has a very low volume) The game itself is dumped. But the rom is hard 2 find. I 've got the rom and can post it for download soon
JOY MECHA FIGHT
Maker: Nintendo
Original licensed game
Intro screen: yes
Fighting modes: 1p story and 2p vs mode
Levels of difficulty: 1
Fighters: 8 but don't know the names 'cos the whole game is in japanese
Fighter select screen: at the beggining you play as the main character, once you win matches you are allowed to choose another characters.. It remains me vaguelly to the Rockman series
Vs. screen: yes
Game Over screen: yes
Notes: it was one of the latest famicom official games, released in 1993. It was never released ouside Japan. The game itself is dumped and easy to find. Try Romnation or Rohustler.
Hope this Information will be usefull