Gifts for puzzle lovers can range from traditional jigsaw puzzles to more unique and challenging puzzle-themed items. Here are some ideas that would delight anyone who enjoys puzzles:

1. Specialty Jigsaw Puzzles: Look for puzzles with unique themes, unusual shapes, or challenging designs. Puzzles with fine art, breathtaking landscapes, or optical illusions can be engaging.
2. 3D Puzzles: These puzzles add an extra dimension to the puzzling experience and can be found in various forms, such as buildings, globes, or intricate objects.
3. Puzzle Boxes: These are intricately designed boxes that can only be opened by solving a puzzle. They can range from wooden Japanese puzzle boxes to more modern designs.
4. Brain Teaser Sets: Sets of various metal or wooden brain teasers can provide hours of entertainment. These often include a range of difficulties to suit different skill levels.
5. Puzzle Mats or Boards: A puzzle mat or board is a great gift for avid puzzle builders. They allow for easy storage and transport of in-progress puzzles.
6. Puzzle-Themed Apparel or Accessories: T-shirts, mugs, or tote bags featuring puzzle designs or witty sayings about puzzles can be a fun and practical gift.
7. Books on Puzzles: Books that delve into the history of puzzles, strategy guides, or puzzle-themed fiction can be great for those who like to read about their hobby.
8. Escape Room Experiences: Gift vouchers to an escape room provide a live-action, immersive puzzle-solving experience, perfect for puzzle enthusiasts.
9. Subscription to Puzzle Magazines or Services: Regular deliveries of crossword puzzles, Sudoku, or other brain games can be a gift that keeps on giving.
10. Custom Photo Puzzles: Create a personalized puzzle using a particular photo for the recipient, like a family picture or a favorite vacation spot.
11. Puzzle Games: Many board games and card games are designed around solving puzzles, which could be an excellent addition to their collection.
12. Electronic Puzzle Games: For those who enjoy digital puzzles, consider gifting a subscription or access to online puzzle games or apps.

Remember, the key to a great gift for puzzle lovers is to find something that challenges and delights them and matches their skill level and interests.