Amiga Computing (UK Edition) issues 1-127 (June 1988 - October 1997) Amiga Computing was a long-lived and respected magazine published initially by Europress, and later IDG, covering most aspects of the Amiga; although games were covered, the focus was on more serious subjects. Like most Amiga...
Not just Amiga either :) The Internet Archive has a VAST collection of Retro magazines. I know there are a ton for the Atari 8 bit as well.