Create a system like https://news.ycombinator.com/item?id=31668814 for voting.
Voters remain anonymous yet can still verify their particular vote was counted correctly (and in fact that all votes are counted correctly)
You’d still want a paper trail.
Our new voting machines in our county are awesome, I hope they are used across the state (NJ).
You get a blank piece of paper that you insert into the machine. You vote electronically, and it prints your vote out in plain readable text on the paper, and presents it to you protected under a piece of glass (maybe pexiglass?) to validate your choices. If there is something wrong, you can reject it at this point. If you accept it, it records your vote electronically, and swallows the paper ballot as a record.
Nice clear printed text. No chads.
I know this is probably techno-utopianism, but it'd be pretty cool if every resident were issued a certificate (for free) with their state or federal government as the certificate authority, which would be used for voting, paying taxes, etc. instead of ad-hoc verification systems like Name + SSN + Address.
I can imagine so many horrible problems with implementing such a system in any US state (let alone federally), but it would be pretty damn cool.