We have the following teachers:
History of Magic - Binns
Charms - Flitwick
Muggle Studies - Burbage
COMC - Kettleburn
Transfiguration - McGonagall
Potions - Slughorn
Herbology - Sprout
We have no idea who is the teacher for ancient runes, DADA,
divination, arithmancy, or astronomy.
If anyone could give us a name for who taught the classes during
1968-1980 that would be most helpful.
In Harry's time at Hogwarts, Astronomy is taught by Aurora Sinistra, and
Arithmancy is taught by Septima Vector. There is no canonical reason
for replacing any of them.
Off-canon, but in JKR's notes, evidently a Professor Babbling taught
Ancient Runes during the Harry at Hogwarts years.
Divination is anyone's guess, as Trelawney was hired after Harry was
born. Make up a name.
As is related in HBP, the DADA position changed annually from the time
Voldemort cursed the position (early fifties) until his demise. Make up
a new name for each year.
Regards,
John
Maybe you should look at the HP Lexicon. Some information is not
available because Rowling never mentioned it.