Most other answers seem to mention SQL based databases. NoSQL based databases are far superior at this kind of thing.
Some Open source time-series databases:
- https://prometheus.io – Monitoring system and time series database
- http://influxdb.com/ – time series database with no external dependencies (only basic server is open-source)
- http://square.github.io/cube/ – Written ontop of MongoDB
- http://opentsdb.net/ – Written on top of Apache HBase
- https://github.com/kairosdb/kairosdb – A rewrite of OpenTSDB that also enables using Cassandra instead of Hadoop
- http://www.gocircuit.org/vena.html – A tutorial on writing a substitute of OpenTSDB using Go-circuits
- https://github.com/rackerlabs/blueflood – Based on Cassandra
- https://github.com/druid-io/druid – Column oriented & hadoop based distributed data store
Cloud-based:
- https://www.tempoiq.com