According to my reference book: “Remington autoloading and pump-action rifles” the calibers are as follows:
760 (1952 – 1980)
.30-06, .270 Win., .308 Win., .300 Savage, .35 Rem., .243 Win., 6mm Rem., .257 Rem., .280 Rem., .244 Rem., .222 Rem., 223 Rem.
760 Carbine (1960 – 1980)
.30-06, .270 Win., .308 Win., .35 Rem., .280 Rem.
7600 (1981 – 1990)
.30-06, .270 Win., .308 Win., .243 Win., 6mm Rem., .35 Whelen, .280 Rem.
7600 Carbine (1987 – 1991)
.30-06
740 (1955 – 1959)
.30-06, .308 Win., .280 Rem., .244 Rem.
742 (1960 – 1980)
.30-06, .308 Win., .280 Rem., 6mm Rem., .243 Win.
742 Carbine (1961 – 1963)
.30-06, .308 Win., .280 Rem.
7400 (1981 – 1990)
.30-06, .270 Win., .308 Win., .243 Win., .35 Whelen, .280 Rem.
7400 Carbine (1988 – 1991)
.30-06
Four (1981 – 1988)
.30-06, .270 Win., .308 Win., .243 Win., 6mm Rem., .280 Rem.
Six (1981 – 1988)
.30-06, .270 Win., .308 Win., .243 Win., 6mm Rem.
Sportsman 74 (1984 – 1987)
.30-06, .280 Rem.
Sportsman 76 (1984 – 1987)
.30-06
Grice Wholesale Special Order 7600 (1990 – 2001)
7mm-08, .25-06 Rem., .257 Roberts, .270 Win., .30-06, .243 Win., 6mm Rem., .260 Rem., .35 Rem.