The Sega Mouse was released in 1993 in order to provide support for games that are easier to play with this type of controller, like point-and-click adventure games.

   It was released in Japan and Europe using an identical shape model, only differing by the colors of the buttons (blue in the JP version and red in the EU's). This model has two buttons and a clickable trackball (which can be used with the mouse flipped down). 
   The US version looks totally different, has a third action button (replacing the click function of the trackball in the JP/EU model), a start button and dropped the clickable trackball; it looks more like a conventional PC mouse than the other models.

General Information:

Year of release: 1993 
Original retail price: JPY5,000 (~USD55.00)
Short description: Simple but reliable mouse models. The US version is more comfortable, however, it can't be used as trackball in games like Marble Madness. 
There's no information about incompatibility between the two different versions of the mouse.

Compatible Games:

Genesis/Mega Drive 
Aerobiz Supersonic (1994) 
Supported devices: Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 4
Simultaneous players: 1
Instructions: Plug the Sega multitap in controller port 1 (do NOT use the extra mode of the revision 2 model).
Incompatibility notes: 

Aquatic Games (1993) 
Supported devices: Electronic Arts 4 Way Play, Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 4
Simultaneous players: 4
Instructions: Plug the Sega multitap revision 1 in controller port 1 or use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

ATP Tour Championship Tennis (1994) 
Supported devices: Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 4
Simultaneous players: 4
Instructions:  Plug the Sega multitap in controller port 1 (do NOT use the extra mode of the revision 2 model).
Incompatibility notes: 

Australian Rugby League (1994) 
Supported devices: Electronic Arts 4 Way Play, Sega Team Player/Multiplayer (revision 2 only)
Number of Players: 4
Simultaneous players: 4
Instructions: Use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

Barkley: Shut Up and Jam! (1994) 
Supported devices: Electronic Arts 4 Way Play, Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 4
Simultaneous players: 4
Instructions: Plug the Sega multitap revision 1 in controller port 1 or use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

Barkley: Shut Up and Jam! 2 (1995) 
Supported devices: Electronic Arts 4 Way Play, Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 4
Simultaneous players: 4
Instructions: Plug the Sega multitap revision 1 in controller port 1 or use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

Bill Walsh College Football (1993) 
Supported devices: Electronic Arts 4 Way Play, Sega Team Player/Multiplayer (revision 2 only)
Number of Players: 4
Simultaneous players: 4
Instructions: Use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

Bill Walsh College Football '95 (1994) 
Supported devices: Electronic Arts 4 Way Play, Sega Team Player/Multiplayer (revision 2 only)
Number of Players: 4
Simultaneous players: 4
Instructions: Use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

Brian Lara Cricket '96 (1996) 
Supported devices: Electronic Arts 4 Way Play, Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 4
Simultaneous players: 4
Instructions: Plug the Sega multitap revision 1 in controller port 1 or use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

Coach K College Basketball (1995) 
Supported devices: Electronic Arts 4 Way Play, Sega Team Player/Multiplayer (revision 2 only)
Number of Players: 4
Simultaneous players: 4
Instructions: Use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

College Football USA 96 (1995) 
Supported devices: Electronic Arts 4 Way Play, Sega Team Player/Multiplayer (revision 2 only)
Number of Players: 4
Simultaneous players: 4
Instructions: Use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

College Football USA 97 (1996) 
Supported devices: Electronic Arts 4 Way Play, Sega Team Player/Multiplayer (revision 2 only)
Number of Players: 4
Simultaneous players: 4
Instructions: Use both controller ports selecting the extra mode of the Sega multitap revision 2. Or just plug the EA 4 Way Play.
Incompatibility notes: 

College Football's National Championship (1994) 
Supported devices: Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 4
Simultaneous players: 4
Instructions:  Plug the Sega multitap in controller port 1 (do NOT use the extra mode of the revision 2 model).
Incompatibility notes: 

College Football's National Championship 2 (1995) 
Supported devices: Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 4
Simultaneous players: 4
Instructions:  Plug the Sega multitap in controller port 1 (do NOT use the extra mode of the revision 2 model).
Incompatibility notes: 

College Slam (1996) 
Supported devices: Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 4
Simultaneous players: 4
Instructions:  Plug the Sega multitap in controller port 1 (do NOT use the extra mode of the revision 2 model).
Incompatibility notes: 

Columns III (1993) 
Supported devices: Sega Tap/Team Player/Multiplayer (all revisions)
Number of Players: 5
Simultaneous players: 5
Instructions:  Plug a joypad in controller port 1 and plug the Sega multitap in controller port 2 (do NOT use the extra mode of the revision 2 model).
Incompatibility notes: 

Sega/Mega CD 
 

Sega/Mega/Super 32X
Wolf32X (Homebrew by Chilly Willy)