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.
Parasol Stars, also known as Parasol Stars: The Story of Rainbow Islands II - or if you prefer, The Story of Bubble Bobble III (not sure why, since there was no "Story of Bubble Bobble I").
Cauldron II: The Pumpkin Strikes Back is a horror platformer created by Palace Software and released for the Commodore 64 in 1986. The game was also ported to ZX Spectrum and Amstrad CPC.
Arabian Nights is a platformer created exclusively for the Amiga by Krisalis Software and released in 1993. Designed by Simeon Pashley (the same guy that programmed the Mancheste...
Switchblade II is an action platformer created by Gremlin Graphics (aka Gremlin Interactive) originally for the Amiga in 1991, then ported to Atari ST, Amstrad CPC, and Atari Lynx.
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.
Montezuma's Revenge is a side-scrolling platformer published by Parker Brothers and released for Apple II, Atari 5200, Atari 8-bit, Commodore 64, and other 8-bit platforms in 1984.
Lode Runner: The Legend Returns is the sequel/remake of the original Lode Runner created by Douglas E Smith. It was developed by Presage Software and published by Sierra On-Line in 1994 for DOS, Mac, and Windows 3.