We have already covered King Pairs and Queen Pairs (also called Golden Pairs and Silver Pairs) in Test cricket. There are 19 cases of King Pairs and 16 cases of Queen Pairs as on 23 Nov 2016.
The Jack Pair, as you should have guessed, involves being dismissed for a 3-ball duck in both innings. There are only 6 cases in Tests:
Bronze ducks in Tests are relatively rare. These players made the most:
Interestingly, the Bracewell family has a strong affinity for bronze ducks:
JG Bracewell was a bowling all-rounder who scored a Test century.
I am not sure what you would call pairs involving 4,5 and 6 ball ducks. But they are known to exist in Tests. More about them later.