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neon
Neon: Serverless Postgres. We separated storage and compute to offer autoscaling, branching, and bottomless storage.
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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
It's not an aws solution, but there are other managed db solutions like https://neon.tech/ Can't vouch for it, but it has a free tier and if all you want is one table and a very low compute, it might suit your needs
For my side project I get and use a little bit of free managed MongoDB storage at https://www.mongodb.com/
NOTE:
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Hence, a higher number means a more popular project.