Good idea! I got Abby a Frozen' jigsaw puzzle, those two princesses, Elsa and I forget, and I could build that. Only a hundred pieces or so however. If I did it blindfolded it might take some time. So they actually have puzzles of that sort online? Find the piece, complete the picture?
I should say that the puzzles I do from Big Fish are not free. I've been a member of that site for years, and while they do have free-to-play games on that site, the better ones are the ones you buy and download (you can install and uninstall as you wish; the games you buy are always available to you). They have lots of sales, and every time you fill your Punch card you get a coupon code for a free standard game (has to be used within 60 days).
Here is the page they have of puzzles for PCs (they have games for MAC and portable devices as well):
http://www.bigfishgames.com/download-games/genres/4/puzzle.html
You'll notice that they have a very... loose... definition of a "puzzle game." But scroll down to the alphabetized list and you'll see plenty of jigsaw puzzles. Some games combine genres, as some Hidden Object games contain puzzle mini-games to solve.
Or if you like other games where there are puzzles of a different sort, one of my favorites on that page is
Hexus. It's a combination of marble strategy game and city-building. You also get to customize a ruler's avatar of an Egyptian king or queen, with various royal regalia. There are some mini-games included in that (some jigsaws, mah-jong, memory tiles, hidden object).
There's a section of the site for board and family games. Some of those can have more than one human player, so if you wanted to play Monopoly with up to 3 other people, you can.
Most games allow a 60-minute free trial, so you can decide if you like the game or not, and you can spot any technical problems. Some people have said in the forums that some games don't run well on Windows 10 machines, and I've discovered that quite a few games that say they're XP-compatible really aren't, or at least weren't on my XP. But if you have Windows 7, 8, or 8.1 you should be fine with all of them. I don't know about the Mac or portables, since I've never used either of them.