wait... $24,000 a year per server for the ability to do live backup? That's more than Oracle (Standard), even counting support. (This assumes a single processor, of course.)
The main feature (software-wise) in Neo4j Enterprise is High Availability clustering support, which gives you fault tolerance and read scalability. On top of that Neo4j Enterprise also comes with 24/7 enterprise-grade commercial support. You can run it on one core, or 768 cores all for the same price.