The-Business: Hitman: Codename 47: Automatic save after level complete.
Hitman 2: Silent Assassing. Amount of times you can save per mission depends on the difficulty level (none for hardest difficulty)
Hitman 3: Contracts. Amount of times you can save per mission depends on the difficulty level (none for hardest difficulty)
Hitman 4: Blood Money. Amount of times you can save per mission depends on the difficulty level (none for hardest difficulty)
Hitman 5: Absolution. Haven't played it yet.
Some of that info is not accurate, because the "saves" are not real saves.
At least not in Blood Money.
If you do not complete the whole entire level, and then you shut down the game, then the game erases your whole entire progress in that level, and all of your so-called "saves" get deleted by the game...because they were never really saves in the first place.
Rather, they were always fake saves, or saves-in-name-only.
And fake saves suck very badly.