Graphite is "numbers only." You can't throw logs at it.

Influxdb will be more similar to ElasticSearch, in that it will accept logs and events, and let you query and generate graphs and subsets of the data.

ElasticSearch has more mature clustering/scaling, and last time I checked, much more efficient queries. I don't know if Influx is winning the polish game, but I suspect it depends on your use case.

(disclaimer: bonsai.io founder)