A reissue (often informally referred to as a remake) is a term that refers to any newer version of a previously released video game. There are five main categories of reissues: remakes, ports, enhanced ports, re-releases, and retools.
A remake is a re-released game built from scratch usually long after the original game, on a new system, with updated graphics to fit with the new engine capacities, and additions brought to plot and gameplay (all these conditions may not be met in every case). They generally have a new name.
Kaettekita Mario Bros.
Donkey Kong (Game Boy)
Super Mario Bros. Deluxe
Donkey Kong Country (Game Boy Color)
Super Mario Advance
Donkey Kong Country (Game Boy Advance)
Super Mario 64 DS
Donkey Kong Country 2
Donkey Kong Country 3
Diddy Kong Racing DS
Donkey Kong Country Returns 3D
Mario & Luigi: Superstar Saga + Bowser's Minions
Luigi's Mansion (Nintendo 3DS)
Mario & Luigi: Bowser's Inside Story + Bowser Jr.'s Journey
A port is a game released on a different platform than the original game, with some minor changes such as new controls or new graphics to fit the new system. Compilations are considered as ports since they're globally compilations of ports. Usually, they are very close to the original game and share the same name. A game released on the NES after its original release on Famicom is not a port, since the two consoles are considered identical.
An altered port of the game is included in Super Mario Bros. 3 (NES, 1988) as a two-player minigame, and in Super Mario 3D World (Wii U, 2013) as Luigi Bros. An enhanced version is in the four Super Mario Advance games (GBA, 2001 to 2003), and in Mario & Luigi: Superstar Saga (GBA, 2003).
Wario Land II
Donkey Kong GB: Dinky Kong & Dixie Kong
Classic NES Series
The Classic NES Series (known as NES Classics in Europe and Famicom Mini in Japan) is a series of ports of NES games released on the Game Boy Advance. Mario series games ported include Super Mario Bros., Dr. Mario, Donkey Kong, Super Mario Bros. 2, Mario Bros., and Wrecking Crew.
Super Mario All-Stars Limited Edition
Super Mario Maker for Nintendo 3DS
Poochy & Yoshi's Woolly World
Super Mario 3D All-Stars
Super Mario 3D All-Stars (Switch, 2020) is a compilation port of Super Mario 64 (N64, 1996), Super Mario Sunshine (GCN, 2002), and Super Mario Galaxy (Wii, 2007). Other than reworking some assets to work with the Nintendo Switch and increasing graphical resolution, there are little differences between this compilation and the original games.
Every Mario game (not counting the WiiWare games) released on the Virtual Console is a port of an original game. The complete list of titles can be found here. Nintendo tried to keep the ports close to the original games, but sometimes the games have been edited. The complete list of changes can be found here.
An enhanced port is a game released on a later platform than the original game, bringing more changes than a standard port, but is not built from scratch.
VS. Super Mario Bros.
Super Mario All-Stars
Super Mario All-Stars (SNES, 1993) is a compilation of enhanced ports of Super Mario Bros. (NES, 1985) Super Mario Bros.: The Lost Levels (Disk System, 1986), Super Mario Bros. 2 (NES, 1988), and Super Mario Bros. 3 (NES, 1988).
Super Mario World: Super Mario Advance 2
Yoshi's Island: Super Mario Advance 3
Super Mario Advance 4: Super Mario Bros. 3
New Play Control! Mario Power Tennis
New Play Control! Donkey Kong Jungle Beat
Mario Kart 8 Deluxe
New Super Mario Bros. U Deluxe
Super Mario 3D World + Bowser's Fury
A re-release is a game released on the same platform as the original game, with only superficial or inconsequential changes. The name may be different than the original game.
A retool, also called a sprite-swapped game, is a game made after applying a graphical overhaul on a previously released game, with or without minor gameplay differences as well. It's generally released on the same platform as the original game.
All Night Nippon Super Mario Bros.
All Night Nippon Super Mario Bros. (Disk System, 1986) is a Japan-only retool of Super Mario Bros.: The Lost Levels (Disk System, 1986) that overhauls many of the sprites of the game to resemble Japanese celebrities and logos of Japanese radio stations. Most of the levels are adapted from Super Mario Bros.
Super Mario Bros. 2
Super Mario Bros. 2 (NES, 1988) is a retool of Yume Kōjō: Doki Doki Panic (Disk System, 1987) that replaces the Fuji TV mascots featured in the game with Mario, Luigi, Peach and Toad, as well as replacing other sprites and retooling the mechanices to cater to a Western audience.
Tetris Attack (SNES, 1996) is a retool of Panel de Pon (Super Famicom, 1995) that replaces the characters, including the main character Lip, with Yoshi characters and enemies for the Western release. Aside from the graphical retool, the game plays almost exactly like its Japanese counterpart.
Mario is Missing!
Mario is Missing! (1992) is an MS-DOS game later ported to the NES and the SNES in 1993. These ports downgrade the game to fit the capabilities of each of the consoles, such as graphical quality and removal and addition of locations and features.
Mario's Time Machine
Mario's Time Machine (1993) is an MS-DOS game later ported to the NES in that same year and the SNES in 1996. These ports downgrade the game to fit the capabilities of each of the consoles, such as graphical quality and removal and addition of locations and features.
Donkey Kong (1981) is an arcade game later ported to the NES in 1983, the Disk System in 1988, and the Game Boy Advance in 2004. These ports downgrade the game to fit the capabilities of each of the consoles, such as graphical quality and removal of stages.
Dr. Mario (1990) is a NES game later ported to the Game Boy in the same year and the Game Boy Advance in 2004. The Game Boy version downgrades the graphical quality of the game, but is otherwise identical to the original. The Game Boy Advance version, however, is closer to the original NES game.
Nintendo PlayChoice-10 is an arcade machine consisting of ten NES games, seven of which were from the Mario franchise: Dr. Mario, Golf, Mario Bros., Mario Open Golf, Super Mario Bros., Super Mario Bros. 2, and Super Mario Bros. 3.
Nintendo Power service
The Nintendo Power service was a service released only in Japan that ran from 1997 to 2007, which allowed players to download specific Super Famicom games to a special cartridge. At a later date, Game Boy games became available. A total of twenty-nine games from the Mario franchise were released for the service, some of which included Super Mario World, Super Mario All-Stars, Super Mario Land, and Wario Land: Super Mario Land 3.
Super Smash Bros. Brawl Masterpieces
The Super Smash Bros. Brawl Masterpieces mode is a mode where the player can play restricted demo versions of fourteen Nintendo games, four of which are from the Mario franchise: Super Mario Bros., Donkey Kong, Super Mario World, and Super Mario Bros. 2.
Super Smash Bros. for Wii U Masterpieces
Like the Brawl mode of the same name, the Super Smash Bros. for Wii U Masterpieces mode is a mode where the player can play restricted demo versions of twenty-four Nintendo games, seven of which are from the Mario franchise: Donkey Kong, Super Mario Bros., Super Mario Bros.: The Lost Levels, Super Mario World, Super Mario Kart, Dr. Mario, and Yoshi.
Bird & Beans
Yoshi no Cookie: Kuruppon Oven de Cookie
Excitebike: Bun Bun Mario Battle Stadium
Excitebike: Bun Bun Mario Battle Stadium (Satellaview,1997) is a reissue of Excitebike, released in 1985 for the Nintendo Entertainment System, with updated graphics and Mario characters instead of the generic racers found in the original.
Wi-Fi Taiō Yakuman DS
Captain Toad: Treasure Tracker
Captain Toad: Treasure Tracker (Wii U, 2014) is a game that has been ported into Nintendo Switch and Nintendo 3DS in 2018, featuring bonus levels inspired by the kingdoms from Super Mario Odyssey, which replace the Super Mario 3D World levels from the Wii U version. The Switch version also added functionality for DLC.
Donkey Kong Country: Tropical Freeze