Super Mario Bros./Versions

Super Mario Bros. was initially released for the NES and Famicom, but due its huge success a vast number of rereleases, ports and different games with the same name exist.
The framerate of the NES and Famicom is 39375000/655171 ~= 60.09881387708959.

Other console and rereleases, which stay close to the original

Famicom Disk System version

Framerate: 39375000/655171 ~= 60.09881387708959
This version is almost identical to the original version. The only notable difference is that the Minus World is completely different and can be finished.

NES PAL version

Framerate: ~50.0069789081886
Due to PAL systems running at a slower framerate, Mario's movement speed has been increased to counter the effect. Overall Mario still moves slower in this version, but some things that are not possible on the NTSC version work in this one. You can get a 244 in level 8-3 and you can do a flagpole glitch in every level (may require left+right, which is banned). It may be possible (but very unlikely) that you can finish the game faster than on NTSC, if you use the flagpole glitch.

Hong Kong NES

Framerate (NTSC mode): ~59.5
Framerate (PAL mode): ?
The Hong Kong NES was officially developed for Hong Kong and allows you to switch between PAL and NTSC mode.

NES multi-game cartridges

Super Mario Bros. shared a cartridge with
- Duck Hunt (NTSC and PAL)
- Duck Hunt and World Class Track Meet (NTSC)
- Tetris and Nintendo World Cup (PAL)
Super Mario Bros. was also part of the Nintendo World Championship 1990 (NTSC). After collecting 50 coins, you go to another game.
All these versions seem to be identical to the original.

GBA rereleases

Framerate: 262144 / 4389 ~= 59.72750056960583 (GBA)
Framerate: ? (Game Boy Player)
Super Mario Bros. has been part of the Classic NES Series, the Famicom Minis Collection and has been released in a Special Edition for the 25th anniversary.

3DS rerelease

Framerate: ?

Wii Virtual Console rerelease

Framerate (NTSC): ~59.824
This version stays very faithful to the original, but due to the framerate it's a bit slower.
There is also version, in which the coin block skin is replaced.

Wii U Virtual Console rerelease

Framerate: ~59.94

PlayChoice-10 Arcade version

Framerate: ?
An arcade system, which lets you play various NES games with play time being bought through coins.

FamicomBox test version

Framerate: ?
A system for shops in Japan that let you test Famicom games.

FamicomStation test version

Framerate: ?
A system for shops in Japan that let you test Famicom games.

Super Smash Bros. Brawl. trial version

Framerate: ?
You can playtest Super Mario Bros. for 1 minute in this game.

Animal Crossing unlockable

Framerate: ?
A GBA port of Super Mario Bros. is in this game, but can only be unlocked with cheats.

Remakes

Super Mario All-Stars

Framerate: 39375000/655171 ~= 60.09881387708959 (SNES NTSC)
Framerate: ~59.824 (Wii VC NTSC)
Super Mario Bros. has been remade for the SNES and bundled with other games in the series. The graphics have been updated and some glitches are fixed.
There is also a version which is bundled with Super Mario World too.
It has also been rereleased on the Wii Virtual Console.
All these versions are slower than the original and are in their own categories.
The Japanese version is faster, because some flagpoles make you drop off more quickly.

Super Mario Bros. Deluxe

Framerate: ~61.17045102596282958984 (Super Game Boy 1)
Framerate: ~59.7275005696058 (GB/GBC/GBA/SGB2)
Framerate: ? (Game Boy Player)
This remake for the GameBoy Color has a different engine and many glitches fixed. It is the only version faster than the original (ignoring NES PAL flagpole glitches and the FDS Minus World ending).
It also features a racing mode and a challenge mode.

Different games with a similiar name

Vs. Super Mario Bros.

This is an arcade version of the game with some changes to make the game harder.

All Night Nippon Super Mario Bros.

This a version with sprite changes and some level changes for the Famicom Disk System.

Super Mario Bros. Special

This game was released for the NEC PC-8801 and Sharp X1.

LCD games

Many games very different from the original yet featuring the same name have been released on LCD devices.