Azure Table Storage vs CosmosDB Table API [closed]
As Peter responded, DocumentDB now is part of Cosmos DB, it is one of the many Data Models the new service has available including MongoDB API, Premium Tables API, and Gremlin Graph API.
They all have the same global distribution capabilities and consistency levels.
Now, going to your Tables question, both services have a different scenario and pricing model.
While Azure Storage Tables is aimed at high capacity on a single region (optional secondary read only region but no failover), indexing by PK/RK and storage-optimized pricing; Azure Cosmos DB Tables aims for high throughput (single-digit millisecond latency), global distribution (multiple failover), SLA-backed predictive performance with automatic indexing of each attribute/property and a pricing model focused on throughput.
Depending on your scenario is the service you might want to use, Azure Storage Tables is still a great solution, but if, for example, you need global distribution, Cosmos DB Tables is a best suited service.