I have to disagree. I use an autorouter on every board I layout. Perhaps
you are all using bad autorouters or don't know how to set them up to do
what you need them to do.

Max/min/pref trace widths, the length and path, the priority of nets, all
those and lots more are settable. Also, unless you pack components with
zero clearance, there's no reason why the autorouter will not get 100%
completion on a double-sided board. "Routing strategy" files are something
of a pain, but the default ones are quite good.

The autorouters I use are "PADs Advanced Autorouter" and "SPECCTRA".
Neither of them are inexpensive.

Cheers,
Bob