I have access to every issue of The Games Machine thanks to archive.org, and game reviews have been added to the following articles. This was a video game magazine from the UK, but most of the early issues did have a regular column on tabletop games, so this is where I am focusing here.
The Games Machine edit
1987 edit
The Games Machine #1: Review of solo gamebooks [1]
The Games Machine #2: Warhammer Fantasy Roleplay [2]
1988 edit
The Games Machine #3: Paranoia, The Fury of Dracula [3] Hotel, The Game of Quotations, Dingbats, Gary Lineker's Footballer of the Year, Eggzilla [4]
The Games Machine #4: Star Wars Sourcebook, Dungeonquest, Judge Dredd Companion [5] Chainstore [6]
The Games Machine #5: Tankattack, Spycatcher [7] RuneQuest Monsters, Griffin Island [8]
The Games Machine #6: Vultures, Sporting Triangles [9] MEGA Role-Playing System, HârnMaster [10]
The Games Machine #7: Ghostbusters, Heroes for Dungeonquest [11] Dark Blades: A Living Adventure [12]
The Games Machine #8: 88: Digital Dramatic, Piremid [13] Land of Ninja, Warhammer Campaign [14] Dark Blades: A Living Adventure, Creephouse [15]
The Games Machine #9: Fantasy Hero [16] The Chronicles of the Knights of Avalon [17] Espionage, Icebreaker [18]
The Games Machine #10: The Neighbours Game, Therapy [19] Curse of the Mummy's Tomb [20] Troll's Bottom [21]
The Games Machine #11: Ascent, PSI [22] Soccer Supremos [23] 2300 AD [24]
The Games Machine #12: Pendragon [25] World of Chaos, Astrowars [26]
The Games Machine #13: Gods of Glorantha [27]
1989 edit
The Games Machine #14: Cthulhu by Gaslight [28]
The Games Machine #15: Champions [29]
The Games Machine #16: GURPS [30]
The Games Machine #17: Twilight: 2000 [31]
The Games Machine #18: Space: 1889 [32]
The Games Machine #19: Earth/Cybertech Sourcebook, Warhammer Fantasy Roleplay [33]
The Games Machine #20: Skyrealms of Jorune [34]
The Games Machine #21: Judge Dredd: The Role-Playing Game, RuneQuest [35]
The Games Machine #22: Space Master [36]
The Games Machine #23: Super Vorcon Wars [37]
The Games Machine #24: Jumbo Crisis [38]