Most mhl adapters will work with an 11 to 5 pin adapter. However most mhl adapters other than Samsung's new official are mhl 1.0 which is 1080p24. Meaning at 1080p you'll only get a capped frame rate of 24; terrible for gaming.
The S4 has an 11pin which is 2.0 compatible and allows your phone to use a 2.0 adapter without your charging wire and enables the HDMI on your TV to charge the phone (only if your TV is mhl supportive - most new ones are) otherwise it won't charge your phone.
Mhl 2.0 allows 1080p60. Meaning a perfect 60 frames at 1080p. Ideal for gaming, especially if you're using a controller and planning to use your phone as a gaming console. Definitely buy Samsung's 2.0 mhl adapter.
Gets the link to the official 2.0 adapter on Samsung's website.
Amazon is the best deal I've found. Watch eBay, lots of 2.0 ripoffs that are really just a 1.0 adapter.
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