This is a listing from the complete snes rom archive i have of the american roms that are bigger than 3mb. Not many really.
     A      4,194,816   02/06/1997  01:10   Ultimate Mortal Kombat 3 (U).fig
     A      4,194,816   14/04/2000  02:33   Toy Story (U).fig
     A      4,194,816   31/05/2000  13:00   Super Street Fighter 2 - The New Challengers (U).smc
     A      4,194,816   27/08/1999  02:57   Street Fighter Alpha 2 (U) [!].smc
     A      4,194,816   16/01/1996  02:01   Samurai Shodown (U).smc
     A      4,194,816   16/08/1999  20:22   Rise of the Robots (U).smc
     A      4,194,816   13/04/2000  00:08   Mortal Kombat 3 (U) [!].fig
     A      4,194,816   11/07/2001  19:58   Killer Instinct (V1.1) (U) [!].smc
     A      4,194,816   15/09/1999  19:56   Killer Instinct (V1.0) (U).smc
     A      4,194,816   20/07/1997  20:32   Ken Griffey Jr's. Winning Run Baseball (U).smc
     A      4,194,816   11/07/1998  11:33   Fatal Fury Special (U).smc
     A      4,194,816   27/09/1999  20:29   Donkey Kong Country (V1.1) (U).smc
     A      4,194,816   12/01/1999  23:45   Donkey Kong Country (V1.0) (U) [!].smc
     A      4,194,816   03/07/1997  15:44   Donkey Kong Country (Competition) (U).smc
     A      4,194,816   27/09/1999  20:30   Dixie Kong's Double Trouble (U) [!].smc
     A      4,194,816   27/09/1999  20:30   Diddy's Kong Quest (V1.1) (U).smc
     A      4,194,816   12/01/1999  23:51   Diddy's Kong Quest (V1.0) (U).smc
     A      4,194,816   19/05/1997  19:18   Chrono Trigger (U).smc
     A      4,194,304   25/05/1999  02:12   Super Mario RPG (U).smc
     A      4,194,304   26/09/1999  23:37   Kirby's Dream Land 3 (U).smc
     A      4,194,304   08/04/2000  00:27   Kirby Superstar (U) [!].smc
     A      3,146,240   09/06/1997  20:08   WWF Wrestlemania Arcade (U).smc
     A      3,146,240   14/04/2000  03:17   WWF Raw (U).smc
     A      3,146,240   14/04/2000  03:13   World Heroes 2 (U).fig
     A      3,146,240   06/12/1998  16:29   Weapon Lord (U).smc
     A      3,146,240   20/01/1999  12:36   Super Mario All-Stars & World (U).smc
     A      3,146,240   25/01/1996  23:18   Street Hockey '95 (U)(51328).smc
     A      3,146,240   05/04/1997  17:59   Street Hockey '95 (U)(47875).smc
     A      3,146,240   09/04/1997  22:22   Spawn (U).smc
     A      3,146,240   08/12/1996  13:08   Secret of Evermore (U).smc
     A      3,146,240   02/11/1999  09:40   Saturday Night Slam Masters (U).fig
     A      3,146,240   16/07/1997  21:11   Romance of the Three Kingdoms IV - Wall of Fire (U).fig
     A      3,146,240   17/08/1997  20:50   Primal Rage (U)(With Sound Test).smc
     A      3,146,240   10/07/1999  00:22   Primal Rage (U)(No Sound Test).smc
     A      3,146,240   02/11/1999  09:32   Pinocchio (U).smc
     A      3,146,240   07/02/1998  04:32   Pacific Theater of Operations 2 (U).smc
     A      3,146,240   16/03/1998  07:02   NFL Quarterback Club '96 (U).smc
     A      3,146,240   03/10/1998  05:42   NFL Quarterback Club (U).smc
     A      3,146,240   27/09/1997  19:42   NBA Hang Time (U).smc
     A      3,146,240   18/06/1999  22:03   Mortal Kombat II (V1.1) (U).smc
     A      3,146,240   27/02/2000  18:04   Mortal Kombat II (V1.0) (U).smc
     A      3,146,240   12/04/2000  22:41   Lion King, The (U).fig
     A      3,146,240   31/05/2000  12:16   Kyle Petty's No Fear Racing (U).smc
     A      3,146,240   06/05/1995  13:26   Justice League Task Force (U).fig
     A      3,146,240   20/08/1999  10:21   Frank Thomas' Big Hurt Baseball (U).smc
     A      3,146,240   12/04/2000  21:04   Foreman For Real (U).fig
     A      3,146,240   07/06/1997  22:43   Final Fight 3 (U).smc
     A      3,146,240   14/03/2000  14:18   Final Fantasy III (V1.1) (U) [!].smc
     A      3,146,240   14/10/1996  01:01   Final Fantasy III (V1.0) (U) [!].fig
     A      3,146,240   10/05/1997  05:30   Earthworm Jim 2 (U) [!].fig
     A      3,146,240   26/05/1997  15:42   Earthworm Jim (U).smc
     A      3,146,240   22/07/1999  03:52   Earthbound (U).smc
     A      3,146,240   24/07/1997  05:34   Double Dragon V - The Shadow Falls (U).smc
     A      3,146,240   12/04/2000  19:00   Donald Duck - Maui Mallard in Cold Shadow (U).fig
     A      3,146,240   12/04/2000  18:39   College Slam Basketball (U) [!].smc
     A      3,146,240   12/04/2000  18:35   Clay Fighter TE (U).fig
     A      3,146,240   10/10/1999  20:10   Clay Fighter 2 (U).smc
     A      3,146,240   02/04/1998  17:17   Breath of Fire II (U) [!].smc
     A      3,146,240   14/01/1996  00:45   Boogerman - A Pick and Flick Adventure (U).smc
     A      3,146,240   22/07/1997  21:19   Batman Forever (U).smc
     A      3,145,728   25/11/1997  17:24   Spider-Man - Separation Anxiety (U).smc
     A      3,145,728   13/04/2000  00:34   NBA Jam Tournament Edition (U).smc
And, This is a listing from the complete snes rom archive i have of the english roms that are bigger than 3mb. Even less, Considering their are over 1300 roms (us and uk), Not including ones for asia or any other part of europe.
     A      4,194,816   13/11/1999  02:34   Ultimate Mortal Kombat 3 (E).smc
     A      4,194,816   16/07/1997  12:23   Toy Story (E).fig
     A      4,194,816   02/08/1997  21:46   Terranigma (E) [!].smc
     A      4,194,816   05/06/1997  14:59   Super Street Fighter 2 - The New Challengers (E) [!].fig
     A      4,194,816   08/03/2000  12:46   Samurai Shodown (E) [!].smc
     A      4,194,816   05/12/1994  13:24   Rise of the Robots (E).smc
     A      4,194,816   07/04/2002  01:50   Mortal Kombat 3 (E) [!].smc
     A      4,194,816   17/03/1999  19:57   Killer Instinct (E) [!].smc
     A      4,194,816   03/04/1999  20:27   Donkey Kong Country (V1.1) (E).smc
     A      4,194,816   26/05/1999  07:31   Donkey Kong Country (V1.0) (E) [!].smc
     A      4,194,816   15/01/2000  14:09   Dixie Kong's Double Trouble (E) [!].smc
     A      4,194,816   29/10/1999  16:34   Diddy's Kong Quest (E).smc
     A      4,194,304   17/09/2000  14:02   Street Fighter Alpha 2 (E) [!].smc
     A      4,194,304   01/05/2000  23:08   Kirby's Fun Pak (E) [!].smc
     A      3,146,240   24/09/1999  16:45   WWF Raw (E).smc
     A      3,146,240   19/06/1999  00:00   Weapon Lord (E).smc
     A      3,146,240   28/01/1999  22:04   Super Metroid (E) [!].smc
     A      3,146,240   08/03/2000  12:22   Spawn (E) [!].smc
     A      3,146,240   27/03/1999  04:36   Secret of Evermore (E) [!].smc
     A      3,146,240   28/02/2000  07:41   Primal Rage (E).smc
     A      3,146,240   29/06/1998  18:09   Pinocchio (E) [!].fig
     A      3,146,240   07/07/2001  17:43   NFL Quarterback Club '96 (E) [h1].fig
     A      3,146,240   06/04/2000  11:02   NFL Quarterback Club '96 (E).smc
     A      3,146,240   18/06/1999  01:17   NBA Jam Tournament Edition (E).smc
     A      3,146,240   03/07/1999  18:33   NBA Hang Time (E).smc
     A      3,146,240   19/07/2001  22:57   Mortal Kombat II (V1.1) (E).smc
     A      3,146,240   02/04/2002  20:32   Mortal Kombat II (V1.0) (E).fig
     A      3,146,240   09/06/1999  00:00   Lion King, The (E).fig
     A      3,146,240   19/09/1999  02:09   Frank Thomas' Big Hurt Baseball (E).smc
     A      3,146,240   08/09/1997  08:26   Fatal Fury Special (E)(62580).smc
     A      3,146,240   15/12/1999  12:41   Fatal Fury Special (E)(61959).smc
     A      3,146,240   18/09/2000  06:01   Earthworm Jim 2 (E).smc
     A      3,146,240   11/10/1997  15:16   Earthworm Jim (E).fig
     A      3,146,240   11/05/1997  11:52   Clay Fighter 2 (E).smc
     A      3,146,240   11/01/1999  21:57   Breath of Fire II (E).smc
     A      3,146,240   16/02/1996  00:00   Boogerman - A Pick and Flick Adventure (E) [!].smc
     A      3,146,240   02/04/1999  12:03   Batman Forever (E) [!].smc
     A      3,145,728   27/04/1999  00:00   WWF Wrestlemania Arcade (E).smc
     A      3,145,728   15/12/1999  16:47   Spider-Man - Separation Anxiety (E).smc
     A      3,145,728   20/02/1999  00:00   Foreman For Real (E).smc
     A      3,145,728   04/10/1999  11:22   Final Fight 3 (E).smc
     A      3,145,728   20/11/1999  05:11   Donald Duck - Maui Mallard in Cold Shadow (E) [!].smc
Disclaimer: I do not host any roms, Any roms i do have, I own the originals too. 

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[EDIT:] Crap english.
Trooper