Legacy of the dragonborn is a big quest mod allowing, among lot of other things, the user to collect all items throughout the game an display them in a museum.

Legacy of the Dragonborn features the following

• Dragonborn Gallery - A massive museum graces the capital of Solitude (right next to the blue palace), which houses space for over 4500 possible artifacts, quest displays and more from vanilla, Legacy and supported mods.
• The Safehouse - A fully equipped player home with all the amenities you could ever want with every crafting station available plus custom disenchanting station, soul gem transmorgraphier, soul extractor, archeology station, replica workbench and more. Space for a family and an entourage is available for purchase at Bits and Pieces, as well as options for a greenhouse and luxury patio. Top it off with display storage that makes a home feel lived in and a hidden treasury and more, the safehouse becomes a display piece all its own.
• Craftloot - An intelligent crafting system that stores all your crafting resources locally and puts them all into your inventory on activating one of the crafting stations. A spell is also available to access your crafting storage at will from anywhere. Craftloot can be enabled to function anywhere in the world!
• Hundreds of New Relics - Legacy adds a massive array of relics and collections to the game as well as provides unique meshes and textures to virtually every unique item in the game.
• A Complex Questline - The true destiny of the Dragonborn comes to light in an extensive main questline that seeks to bring together relics from those tied to the two aspects of the Chim-El Adabal; Lorkhan and Akatosh. This completely rewritten quest allows those who played in the past to play anew with new foes, new paths and new outcomes.
• The Explorers Guild - Bored of the same guilds in Skyrim? We've got you covered. With a brand new Guild you establish yourself known as the Explorer Society. Recruit members, setup expeditions and take advantage of the Guild member's unique skills. All culminating in 3 massive expedition quests with tricky boss battles and breath-taking set pieces.
• Automatic Display Sorting - If you'd rather not wander through the Gallery looking for the display spot for your new treasures, the curator's office features an auto-sorter which will scan your inventory and display any items you've collected. This updated system works faster than ever before, only looking for groups of items you have in your inventory rather than running the full list.
• Replica Crafting - Want to use that powerful relic you found? Well don't deprive the museum of a display, make a replica of it today!
• A New Skill (Archaeology) - as you discover more of the hundreds of dig sites dotted around Skyrim you will advance levels in Archaeology allowing you to turn your fragments into new and interesting relics. Some with special abilities and others just for show. Archaeology also has 3 new perk trees, which are independent of the Skyrim perk system for maximum compatibility!
• Fossil Excavating -Find fossils in mining nodes and at specialize fossil beds in the hot springs tundra to create new amazing natural science displays.
• Museum shipment crates - Too much loot? Setup delivery crates from the curator's office. This station will let you enable crates next to the carriage drivers, at vanilla and BYOH player homes as well as outside of Inns. Enable in any combination you like or none at all. Placing items inside of them will ship the items back to the museum in a few days.

As this mod is really big, we will not cover every aspects of it, but you can consult its wiki page here.

Though, a usefull feature added by mods that complement Legacy of the Dragonborn is an icon system telling you if you already collected an item for the museum.