AFAIK, right now SQS does support what was asked!
Please see the "What's new" post entitled Amazon SQS Introduces FIFO Queues with Exactly-Once Processing and Lower Prices for Standard Queues
According to SQS FAQ:
FIFO queues provide exactly-once processing, which means that each message is delivered once and remains available until a consumer processes it and deletes it. Duplicates are not introduced into the queue.
There's also an AWS Blog post with a bit more insight on the subject:
These queues are designed to guarantee that messages are processed exactly once, in the order that they are sent, and without duplicates.
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Exactly-once processing applies to both single-consumer and multiple-consumer scenarios. If you use FIFO queues in a multiple-consumer environment, you can configure your queue to make messages visible to other consumers only after the current message has been deleted or the visibility timeout expires. In this scenario, at most one consumer will actively process messages; the other consumers will be waiting until the first consumer finishes or fails.
Duplicate messages can sometimes occur when a networking issue outside of SQS prevents the message sender from learning the status of an action and causes the sender to retry the call. FIFO queues use multiple strategies to detect and eliminate duplicate messages. In addition to content-based deduplication, you can include a MessageDeduplicationId when you call SendMessage for a FIFO queue. The ID can be up to 128 characters long, and, if present, takes higher precedence than content-based deduplication.