"You could just, you know, build a big database of who owns shares, and transfer shares on that database, and not rely on a system in which people own shares in brokers' databases and brokers own shares in DTC's database and DTC owns shares in companies' (transfer agents') databases. The big database could send out voting instructions directly to the shareholders, cutting back on the outsourcing. You could build a new system, from the ground up, corresponding to the actual practices of finance rather than to the archaisms that they're built on." [0]
No need to go all blockchain and shit, just consolidate the mess of systems into a single well-designed and well thought-out one.
[0] That 'graph is -incidentally- the 'graph that immediately precedes the one that mentions The Blockchain(TM).