Choose Azure Table Storage when you require a scalable, cost-effective NoSQL solution for storing large amounts of structured, non-relational data. It is ideal for applications with high transaction rates and flexible schema requirements. Compared to Azure SQL Database, Table Storage offers lower costs and better performance for specific workloads that do not need complex querying or relational features. Opt for Table Storage over Azure Blob Storage when your application requires fast access to individual records within large datasets, as it provides efficient querying capabilities based on partition and row keys.