It appears that new patch versions of PostgreSQL RDS are being rolled out in AWS.. so we should expect an announcement soon:
REGION: us-east-2
"DBEngineVersionDescription": "PostgreSQL 10.11-R1"
"DBEngineVersionDescription": "PostgreSQL 10.12-R1"
"DBEngineVersionDescription": "PostgreSQL 10.13-R1"
"DBEngineVersionDescription": "PostgreSQL 11.6-R1"
"DBEngineVersionDescription": "PostgreSQL 11.7-R1"
"DBEngineVersionDescription": "PostgreSQL 11.8-R1"
"DBEngineVersionDescription": "PostgreSQL 12.2-R1"
"DBEngineVersionDescription": "PostgreSQL 12.3-R1"
REGION: us-east-1
"DBEngineVersionDescription": "PostgreSQL 10.11-R1"
"DBEngineVersionDescription": "PostgreSQL 10.12-R1"
"DBEngineVersionDescription": "PostgreSQL 10.13-R1"
"DBEngineVersionDescription": "PostgreSQL 11.6-R1"
"DBEngineVersionDescription": "PostgreSQL 11.7-R1"
"DBEngineVersionDescription": "PostgreSQL 11.8-R1"
"DBEngineVersionDescription": "PostgreSQL 12.2-R1"
"DBEngineVersionDescription": "PostgreSQL 12.3-R1"
REGION: us-west-1
"DBEngineVersionDescription": "PostgreSQL 10.11-R1"
"DBEngineVersionDescription": "PostgreSQL 10.12-R1"
"DBEngineVersionDescription": "PostgreSQL 10.13-R1"
"DBEngineVersionDescription": "PostgreSQL 10.14-R1"
"DBEngineVersionDescription": "PostgreSQL 11.6-R1"
"DBEngineVersionDescription": "PostgreSQL 11.7-R1"
"DBEngineVersionDescription": "PostgreSQL 11.8-R1"
"DBEngineVersionDescription": "PostgreSQL 11.9-R1"
"DBEngineVersionDescription": "PostgreSQL 12.2-R1"
"DBEngineVersionDescription": "PostgreSQL 12.3-R1"
"DBEngineVersionDescription": "PostgreSQL 12.4-R1"
REGION: us-west-2
"DBEngineVersionDescription": "PostgreSQL 10.11-R1"
"DBEngineVersionDescription": "PostgreSQL 10.12-R1"
"DBEngineVersionDescription": "PostgreSQL 10.13-R1"
"DBEngineVersionDescription": "PostgreSQL 11.6-R1"
"DBEngineVersionDescription": "PostgreSQL 11.7-R1"
"DBEngineVersionDescription": "PostgreSQL 11.8-R1"
"DBEngineVersionDescription": "PostgreSQL 12.2-R1"
"DBEngineVersionDescription": "PostgreSQL 12.3-R1"
... etc.