Full-reserve banking doesn't eliminate risk, it pushes it elsewhere. The nice thing about fractional reserve (yes, there are nice things about it!) is that it allows people to have a savings without completely paralyzing the money supply. Money that is "saved" can still be used for productive purposes. Yes, this introduces risk (of the sort that the FDIC is intended to ameliorate), but the alternative is to either discourage savings entirely in favor of active investments (which are themselves mostly subject to the same sort of risks as savings accounts of today), or otherwise encourage savings but let the economy be strangled by a lack of funds (which becomes a vicious cycle).
Certainly we can argue about the precise percentage of the fractional reserve, but keep in mind that "100%" is not a panacea.
> Money that is "saved" can still be used for productive purposes.
If I wanted to put money to productive purposes (at risk, with reward) I would do so myself. I'd buy bonds, stocks, options, lend money out, whatever. I already do this.
Whatever I keep in cash, without investing, is intentionally kept as cash, and I want that part to be zero risk, I don't need the bank to help me invest it at nonzero risk.
We really don't need a bunch of fake money flying around. It's time to have every dollar in the wild be a real dollar.