How to Retrieve History from ALL browsers on Android Phone
No, there's no one place that all browsers store history. Each browser stores history in its own way. Chrome stores it in the cloud, associated with your Google account. Firefox can store it in the cloud with a Firefox account, but doesn't share it with Google. I don't know about CM Browser but maybe they don't store it in the cloud at all, only on your phone.

Most people who use other browsers than Chrome would be very annoyed if their browser told Google about every website they visited.