Chess Fundamentals

Ilya Mazelis - The Soviet Chess Primer (0 - 1800)

Irving Chernev - Logical Chess Move by Move (0 - 1800)

Irving Chernev - The Most Instructive Games of Chess Ever Played (1000 - 1800)
John Nunn - Understanding Chess Move by Move (1500 - 2000)

John Watson - Secrets of Modern Chess Strategy (1600 - 2000)
R.B. Ramesh - Fundamental Chess: Logical Decision Making (1400-2200) 

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Tactics & Calculation

Susan Polgar - Learn Chess The Right Way (5 books, 0 - 1400)
Alburt & Palatnik - Tactics for the Tournament Player (1200 - 2000)
Vladimir Vuckovic - The Art of Attack (1400 - 2200)
Spielmann & Muller - The Art of Sacrifice in Chess (1400 - 2200)
Maxim Blokh - Combinative Motifs (1400 - 2200)
Smith & Tikkanen - The Woodpecker Method (1600 - 2400)
Jacob Aagaard - Excelling at Chess Calculation (1800 - 2200)
Volokitin & Grabinsky - Perfect Your Chess (2200+)

Chessking software/apps (PC, Apple, Android) - Tactics For Beginners, CT-Art (1400-1600), and CT-Art 4.0 to name a few but there are many others.

Middlegame Play
Jeremy Silman - Reassess Your Chess, 4th edition (1200 - 1800)
Johan Hellsten - Mastering Chess Strategy (1400 - 2200)
Mauricio Flores Rios - Chess Structures: A Grandmaster Guide (1600 - 2200)
Alexey Suetin - A Contemporary Approach to the MIddlegame (1800 - 2200)
Israel Gelfer - Positional Chess Handbook (1800 - 2200)
Landa & Sakaev - The Complete Manual of Positional Chess 1 & 2 (2000 - 2400)
Boris Gelfand - Positional Decision Making in Chess & Dynamic Decision Making in Chess (2000+)

Endgame Play

Jeremy Silman - Complete Endgame Course (0 - 2200)
Mikhail Shereshevsky - Endgame Strategy (1200 - 2200)

Johan Hellsten - Mastering Endgame Strategy (1400 - 2200)
Jesus de la Villa - 100 Endgames You Must Know (1200 - 2400)
Mark Dvoretsky - Dvoretsky's Endgame Manual (2200+)

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Openings

Quality Chess - GM Repertoire series (1800+)
Chess24/Chessbase/Chessable courses (level greatly varies)

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Series of Books - (for players who want a structured training program)
Yasser Seirawan - Winning Chess (1000-1600)
Artur Yusupov - Build Up Your Chess/Boost Your Chess/Chess Evolution (1400-2200)

Jacob Aagaard - Excelling at Chess (1800-2200)
Mark Dvoretsky - School of Chess Excellence & School for Future Champions (2100+)
Jacob Aagaard - Grandmaster Preparation (2200+)

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Game Collections (suitable for all levels with the exception of Kasparov)

Mikhail Tal - Life and Games of Mikhail Tal
Bobby Fischer - My 60 Memorable Games
Alexei Shirov - Fire on Board 1 & 2
Vladimir Kramnik - My Life and Games
Garry Kasparov - My Great Predecessors I-V & Kasparov on Kasparov 1-3 (1800+)
Simen Agdestein - Wonderboy Magnus Carlsen