Question: I'm looking for a backend platform that offers a full setup with PostgreSQL database, authentication, and serverless functions to speed up my web app development.

If you want a full-featured backend platform with a PostgreSQL database, strong authentication and serverless functions, Rocketgraph is worth a look. It's a full-stack option that supports GraphQL, Hasura console and AI services. With strong authentication and serverless functions, Rocketgraph promises to speed up your web app development, with a 1-day free trial and a Developer plan costing $50 per month.

Another good alternative is Supabase, an open-source Firebase alternative that supports a PostgreSQL database and user authentication. It also comes with instant APIs, real-time subscriptions, storage and vector embeddings. Supabase is geared for developers who want a production-ready app with a lot of features, including a data management dashboard and support for multiple frameworks. It offers a free tier with unlimited API requests and various Pro, Team and Enterprise pricing tiers.

If you want a serverless data platform, Xata is worth a look. It offers serverless Postgres with automatic scaling and large free tiers. Other features include zero-downtime schema migrations, file storage, branching, full-text search with Elasticsearch and AI integration. Xata supports a variety of frameworks and tools, so it can fit in with your preferred development workflow. Its pricing tiers are designed to handle growing projects.

Last, if you want a low-code approach, check out Backendless. It offers a visual UI builder, codeless logic and direct API integration for easy data management. It also offers real-time databases, a visual schema modeler and streamlined user management. Backendless offers flexible deployment options and integrates with services like FlutterFlow and Zapier, so it's a good option for building high-performance apps.