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The exodus wallet was a great inspiration for this design. I really like what they are doing. It is the most user-friendly wallet I've ever used.

With a dedicated EOS wallet we could integrate specific features for the platform itself though.
I can think of... having some specific information shown about the active blockproducers in "Statistics" or even a functionality to vote on them. Or maybe a section to locate & create smart contracts without coding. Or integrated chat functionality with your contacts. Just to name a few.