If you have a team of people that are working together to find a good domain for your new company, try this tool:
The description on the site is not great, so here is a different description:
You get a "secret" link that you can send to everyone on the team. They each can search for available domains and then "star" the ones they like. The "starred" items are available for everyone on the team to see.
The thing that keeps your list secret is that the URL is extremely hard to guess. There is no password, so be careful who you share the link with.
Happy Domain Hunting!