1) International Intellectual Puzzle Museum in Ulaanbaatar Mongolia. This one houses over 11,000 Puzzles and toys. Of these, almost 5000 are puzzles alone. (fee to enter)
2) Logic Puzzle Museum in Burlington Wisconsin. I'm not sure how many puzzles it has, but the website says there are over 60 to play with. (fee to enter)
3) Puzzle Museum in the UK. This one can be visited by invitation only and is said to have over 50,000 puzzles. *
4) Puzzle Mansion in Tagayata Phillipines. This is actually a Bed & Breakfast that has a jigsaw puzzle museum attached. No webpage, just FaceBook. (fee to enter)
5) Karakuri Puzzle Museum in Hakone Japan. If you are into wooden boxes, this is the place for you. The museum is worth a visit, but more worthy is the entire town. *
6) NobYoshigahara collection at the JAIST Gallery in Ishikawa Japan. A small number of puzzles are on display in this museum. The collection has around 10,000 pieces. *
7) Slocum Puzzle Collection at the Lily Library in Bloomington Indiana. This collection houses over 30,000 puzzles. It is open to the public to see the 50 or so publicly displayed permanent items. All of these are behind glass. There are about 10 puzzles that can be played with as you go around the room. You need to apply in advance to see other puzzles not on display. Each puzzle must be called up by name, e.g. there is no browsing available on site. *
8) Puzzleum in Bochum-Gerthe Germany. I've no information on this. (fee to enter)
9) Labyrinth Woodworks in Hokianga New Zealand. This museum is owned by IPPer Louis Puzzleman. The website is a work in progress.
10) Puzzling World in Wanaka New Zealand. This is more of a curiosity and illusion site, but still has puzzles to play. (fee to enter)
11) Berrocal Museum in Malaga Spain. Open by appointment only. Well worth the visit. * (fee to enter)
12) Houseum in Satyagrah Chawani India. This House museum holds a number of puzzles, but also houses an eclectic collection of oddities.
13) And of course there is Puzzle Palace. This museum home is open by invitation only. Located in Boca Raton Florida. We have over 10,000 puzzles placed in what we call 'display and play'. *
Of course, there are many museums that house puzzles but not many that are completely dedicated to puzzles. Almost every science museum in the world has a display of playable puzzles. There are many virtual puzzle museums but I have not included those here. I also realize that many people have a 'puzzle cave' or 'puzzle den' or 'puzzle room', I even know a gentleman who has a 'puzzle building'. These have also not been included, they are not extensive, or open to the public. I've searched the web and simply cannot find anymore puzzle museums. If you are aware of any, I'd love to add it to my list. Photos and videos of Puzzle Palace will be loaded over time.
Thanks to some readers, I'm able to update this posting. Keep the museum additions coming!
9) Is no longer around, it has been moved to Rawene New Zealand and is under the name Simply Fun.
14) Joure Puzzle Museum in Joure Netherlands. I can't add anything about this other than it is in the Northern part of the country.
13) As of 27 July, 2020 we have 10,243 puzzles on display. More are being added each week. We never expect to overtake the Slocum collection, or even come near the amount held by the Puzzle Museum.
15) A new one at 60 Patela Vrahou, Kastellorizo, Dodecanese 85111, Greece. Houses around 4000 puzzles. Currently free but with a small fee to be added in future.