I don't think the enquiry was limited to watches worn in the 1960's - I'm glad that you are aware that SEAL's had Rollies and Tudors - the main question is what did SEAL's wear in previous decades, in the 60's it was the Rayville the Rolex and the Tudor, the Rolex and Tudor continued on into the 70's and 80's along with the Benrus. from the 60's to the present you will find quite a few Seiko's of various stripes 6217's, 6105's, 6306 & 6309's, 7002's and I'm sure SKX's plus tons of Aqualand's and Suunto's etc....
The superstars are going to be the Rolex the Tudor I'm sure more than a few Omega Seamaster 300's and away from that big dollar club a lot of mechanical Seiko's....I think the later Quartz watches are tough and accurate but probably aren't what the OP was posting about or looking for.
Modern production watches I have outlined above, Blancpain 50 fathoms is there also as is the Tudor but is getting into big $$$ territory, the MKII's and the Seiko are within reach for most, real historic watches are going to be cabinet queens.