There is excellent award space in Japan Airlines First Class between San Francisco and Tokyo for most of the next 11 months.

Update 7/15/15: The best current offer is 75k miles:

For a limited time, the Citi® / AAdvantage® Executive World Elite™ MasterCard® offers 75,000 bonus American Airlines after spending $7,500 in the first three months.

American Airlines miles are the best for super-cheap economy redemptions and ultra-luxury redemptions. The Citi® / AAdvantage® Executive World Elite™ MasterCard® also offers Admirals Club lounge membership, meaning you can access over 90 American Airlines Clubsin airports around the world whenever you’re flying–even if you’re not flying on American.

American Airlines releases a ton of award space on its routes to Hawaii at the last minute.

On almost all of American Airlines' routes from Los Angeles to the four major Hawaiian islands and Dallas/Fort Worth to Oahu and Maui, there is award space for 4+ people in the next few weeks.

If you live in Southern California or North Texas, this is a great chance to use as few as 12,500 Avios per person per direction to get to Hawaii during high season when the weather is a perfect 85 degrees and sunny.

If you live somewhere else

American Airlines and US Airways are currently offering huge bonuses on transfers from SPG Starpoints.

British Airways has a unique, distance-based award chart that can provide fantastic value for short-haul flights.

Both Chase Ultimate Rewards and American Express Membership Rewards transfer 1:1 to British Airways Avios.

British Airways has access to all American Airlines "MileSAAver" award space. Furthermore, on some routes British Airways actually charges fewer miles for the same flight than American Airlines.

Unfortunately, using ba.com is not as straightforward as using aa.com.

Until July 31, 2014, you can transfer 20,000 SPG Starpoints to 30,000 US Airways Dividend miles.

This promotion is identical to the current promotion to transfer 20,000 Starpoints to 30,000 American Airlines miles, which makes sense since US Airways and American Airlines have legally merged.

Yesterday I said about the American Airlines promotion: "it's July 2nd, and I think we can probably declare this the best miles deal July will see!" Of course, such a statement was disproved in less than a day because I consider the US Airways promotion slightly better.

How many Starpoints

Overnight, I wrote about the current Starwood/American Airlines promotion: for all of July, 20,000 Starpoints will transfer to 30,000 American Airlines miles.

I gave the facts in this post, but I was called out in the comments for not analyzing the promotion. Said DH:

"Is this offer an indication there’s an AA devaluation right around the corner? If so, is this transfer still a good idea? Starwood points are really valuable, and I doubt devalued AA miles would be anywhere close.

Until July 31, 2014, you can transfer 20,000 SPG Starpoints to 30,000 American Airlines AAdvantage miles.

It's July 2nd, and I think we can probably declare this the best miles deal July will see!

How many Starpoints can you transfer?
Do Starpoints transfer instantly to American Airlines miles?
In what increment must you transfer Starpoints to maximize this deal?

"From July 1 through July 31, 2014, simply convert your Starpoints® to American Airlines AAdvantage miles and earn a 20% bonus.

American Airlines' non-oneworld partner, Etihad, has fantastic award space to the Middle East, India, and the Maldives.

For five months, the Citi Executive AAdvantage World MasterCard has been offering 100,000 bonus American Airlines miles after spending $10,000 in the first three months.