Bytemark (a UK hosting company) have an anonymous hiring process which they've documented at https://careers.bytemark.co.uk/full-process which gives them as much confidence as possible that if you make it to the interview stage, you've done so based on your skills rather than your CV, gender, religion etc.
Disclaimer: I don't work for Bytemark but have been a happy customer for many years
Disclaimer: I don't work for Bytemark but have been a happy customer for many years