In an effort to monitor piracy and to tax merchant ships, the Shipwrights met to document all the ships they ever constructed. Yet records were lost, and some were never found, thus is this roster incomplete.
Roster Analysis

Alyrian Ship Roster Analysis

Here's the breakdown on the documented Alyrian Player and Immortal Ships

Ship Type         # Count
Skiff                81
Coaster              25
Caravel               5
Drakkar              54
Corsair               6
Dromond              17
Galleon               7
Dreadnought           2
Junk                  9
Super Dreadnought    64
TOTAL               270

It's quite stacked on the cheap Skiffs, the cheapest steam powered ships, the Drakkar, and the heavyweight Super Dreadnought.
Counting the Merdraco, there is only one player owned Dreadnought!