As configured for the Open Championship, Royal Birkdale has par 5s only at numbers 15 and 17.
West Sussex only has a single par 5, the 1st.
Royal Lytham doesn't have a par 5 after the 11th and, although there are two short par 4s still to come, few players come home in under par from there under championship conditions.
For next year's Open, Royal Liverpool will start at the members' 17th, so the Open course will finish with par 5s at 16 and 18.
Turnberry (again as configured for the Open) only has par 5s at the 7th and 17th, both short of their kind (529 and 497 yards respectively) and easy prey for today's strong men. However, a number of lady professionals came to grief on the 17th (including Laura Davies) in the most recent Ladies' British Open played there. Unless you could incorporate holes from the Kintyre course, would you perhaps make the 7th and 17th par 4s for any future Open held there? That would make par 68.
Saunton East is another course with only two par 5s, both of which are very short of their kind, the 2nd and 15th - 476 and 478 yards respectively.
Royal Waterloo's La Marache course was a frequent host to the Belgian Open on the European Tour some years back. It ended with three par 5s, 476, 527 and 486 yards respectively. I can imagine the tour players standing on the 16th tee envisaging taking no more than 9 strokes to finish from there. I've have been there. I didn't think it was anything to write home about in comparison with some of the other Belgian courses about which I have enthused on GCA before now.
Penina, Henry Cotton's influential course on the Algarve, has five par 5s in total, four of them on the back nine at 10,11,17 and 18.
Cascades ends unusually with 3,5,5,3. Is that a good routing for the course (genuine question)?
Royal Melbourne composite, as played in some recent events, didn't have a par 5 after the 10th - and that was only 483 yards.
Pinehurst #2 as played in the last US Open also had no par 5 after the 610-yard 10th, but I suspect I'd have been hard pressed to have reached any of the par 4s in two shots, save perhaps the 13th, and I certainly would not have had the skills required to hit and hold those greens.
Cypress doesn't have a par 5 after the 10th, either.
Of the 83 courses in Cheshire in 1993 (there are over 100 now) only two ended with consecutive par 5s, Heyrose and Warrington, and neither sets the world alight.