The Great Giana Sisters is a 2D platformer inspired to Super Mario Bros (you might say "clone"). It was developed by Time Warp initially for the Commodore 64/128, in 1987, then ported to Amiga and Atari ST in 1988.
Superfrog is a platformer created for the Amiga by Team 17 and released initially in 1993. One year later the game was ported to MS-DOS. With a lot of colors and nice animations, the game is totally violence free.
Rainbow Islands is the sequel to Bubble Bobble and was developed and published by Taito in 1987 for arcade only. It would remain arcade only until 1990 when it was ported to the Amiga, Commodore 64 and others.
Fire & Ice: The daring adventures of Cool Coyote is platformer created by Graftgold and published by Renegade Software in 1992 for the Amiga and Atari ST, later ported to MS-DOS, Acorn, and SEGA Master System.
James Pond: Underwater Agent is a side-scrolling platform game developed by Vectordean and published by Millennium Interactive in 1990 initially for the Amiga, the later ported to Atari ST, Sega Mega Drive and other platforms.
Hudson Hawk is a platform game developed by Special FX for the Amiga, Atari ST, Commodore 64 and ZX Spectrum based on the film of the same name with Bruce Willis. It was released in 1991 and published by Ocean Software.
Oscar is a platform game developed and published by Flair Software, released for the Amiga, Amiga CD32 and MS-DOS in 1993, later ported to the NES. Oscar was released both in ECS and AGA, the latest one with 256 color graphics.