The FIDE Laws of Chess are extremely careful to separate the “Basic Rules of Play” (articles 1 through 5) from the “Competition Rules” (articles 6 through 12). Articles 1-5 are basically the universal answer to “how do I play chess?”:
- The nature and objectives of the game of chess
- The initial position of the pieces on the chessboard
- The moves of the pieces
- The act of moving the pieces
- The completion of the game
(Article 5 specifies five ways the game can end: checkmate, resignation, stalemate, dead position, draw by agreement. Other ways of drawing are mentioned in article 9, which typically don’t apply to casual play (triple occurrence of position, 50 move rule) by dint of requiring a scoresheet.)
Actually, looking at this list, I just noticed something odd. Article 4 is essentially the “touch-move” rule. Articles 1-3 and article 5 would apply to any chess game played under any conditions, whether tournament play or just a casual game. I really don’t see article 4 as a “basic rule” that would apply to casual games.
The chess clock is not even mentioned until the article 6, and none of articles 1-5 depend on that article. On the other hand, the chess clock is an integral part of the Official Rules of Chess because it is an inseparable part of rule 9 (determination and completion of the move).
The FIDE rules for all time controls do indeed function the way you describe they should. Article 6.2.2 reads:
The US Chess blitz rules also work this way. That’s because, according to the blitz rules, a legal move is completed at the same time it is determined, so the opponent does not have to wait for the player to press the clock to be on the move.
The US Chess rules specify that the player is still on the move during the interval between determining and completing a move for the purposes of draw claims. This is not relevant in FIDE; a player is not allowed to claim a draw on his move once he has touched a piece. (Article 9.1.2.1 does stipulate that a player wishing to offer a draw must do so after moving and before pressing the clock. If the opponent has moved before the player presses the clock, that seems to be a clear indication the opponent is not interested in a draw.)