For databases I use the appropriate database dump tool (pg_dump, mysqldump, etc), gzip the output, then it gets rsync'd to a backup system, then sync'd to S3 fo

For databases I use the appropriate database dump tool (pg_dump, mysqldump, etc), gzip the output, then it gets rsync'd to a backup system, then sync'd to S3 for longer term archival. For logs, they're rotated daily by logrotate.d and compressed and then it's just the rsync + sync to S3 part. I may also sync to another cloud storage provider in the future. So, it's not a system per-say - a combination of good open-source tools and scripts.