Hi @vladimir,
Yes, there are AMI Images for Neo4j both enterprise and community.
My recommendation, is start with T2.micro and benchmark your load, and my next instance type would be t2.medium (may be higher than that) for Dev.
For more production lifecycle - QA/ UAT / Prod, I would recommend Compute / Memory Optimized Instance types(but, again) based on your data workloads.
Towards production you should be looking towards Neo4j Clusters.
Hope this works.
Feel free to ask more questions to the community forums for suggestions.