Touchtone Semiconductor is a startup company whose products include an op amp known as the TS1001, which they say is the only such component to operate on 0.8 V and 0.6uA.
They’ve announced a Coolest Op Amp design competition for developers who incorporate the TS1001 into their designs. See the Touchstone Semi’s website for a list of the rules, prizes and deadlines.
Thanks Stephen B! Via the contact form.