Sodium dissolved in liquified (cryogenic) ammonia.
"Oh, you wanted room temperature? Never mind."
Solar photospheric plasma.
"Oh, you wanted room temperature? Never mind."
How about some UNobtanium while we're at it?
_______________________________
Seriously, either low melting alloys (as another
person suggested) based on indium, gallium &/or cesium
OR
Ionic conductors based on salts in aqueous solution,
you can easily get to 1 Mho/m conductivity with
salt solutions -- electrodes need be chosen with
care to avoid corrosion issues. Precious metals
if you can afford, graphite if you can't.