A small suggestion that may take some time but would be incredibly useful would be having the ability to transfer items from your inventory to the vault and/or to other characters. It would be nice and alleviate the tedious time it takes to switch chacters and loading in and out of the tower multiple times.
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Sounds like a great idea. I would also like the ability to shop from the vendors including Xur, obtain and redeem bounties, and visit the Cryptarch. Basically anything you can do in the Tower. That would be great for those of us stuck at work.