Ask HN: Which BigCorps Hire Remote Software Engineers?

http://basedremote.com/ is an excel list of companies offering remote positions, you can filter the list, albeit not by size. At first glance the following match your criteria (don't know exactly what your criteria are for BigCorp) https://www.salesforce.com/ https://www.palantir.net/ http://www.oreilly.com/ https://www.digitalocean.com/ http://www.linuxfoundation.org/

Here's a list of remote-only companies:

https://www.remoteonly.org/

Most big companies will allow for remote work, if you're good enough.

I don’t think any of them really actively hire remote engineers unless you have a very niche skill set they need.

But I’ve heard of instances where someone works at BigCo for a very long time, makes themselves very valuable and then move somewhere with no office presence for family reasons but continue to work.