The only ADC's I play and know enough to not freak out when I get stuck as ADC are Sivir, Miss Fortune, and Kennen. My preferred Support pairing would be:
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I like the peeling power of Braum, to keep baddies off my back until I can finish my Essence Reaver rush. I play more like an AD caster than a true AD carry,
so if I can't finish off ER, I feel highly diminished as an ADC. That, and Sivir is actually an AD caster to begin with.
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Miss Fortune is a powerful early game lane bully, but kind of requires a team built around her for late game operations. She also requires someone to lock down enemies for her to kill, as she lacks the chasing power of true AD casters, and the escape ability of certain other dual pistol ADC's ...
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As Kennen (who has similar base stats to Draven for those who say he can't be ADC), I prefer someone that has hard ranged harass, like a spell caster, but having a targeted stun and an ultimate that complements my all ins. As you can guess, people typically don't expect Pantheon support and typically pairs me with something like Soraka (Energy based champion, pick mana giving support hurr durr)
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The term "ADC" means AD Carry. It does not specify if the carry is a ranged carry or a melee carry, so technically, a melee ADC like Yasuo or Master Yi is actually meta. It just so happens the "meta" part is them going mid or top. However, a support would prevent many feast or famine issues with a melee ADC. Yasuo seems to have been made as an AD carry, as he has the tools to shrug off harass and the ability to get close and stab other ADC's. He also synergizes with many supports like Braum and Alistar. So my pairing of Yasuo and Alistar is to provide heavy lane sustain and an on demand knock up, rather than a ultimate based knock up as Braum has. Alistar also has a "dash", allowing him and Yasuo to jump someone at the same time rather than only Yasuo going in.
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Technically speaking, Lee Sin is not an AD carry at all, but rather an AD assassin/bruiser hybrid. However, he can be used in place of a melee ADC with his jump, sustain, and shield. He works really well with an all in melee support like Leona to lock down enemy champions. Lee's primary focus is to rush a Hydra and then do a normal assassin Lee build. Crit items not needed because by the time he has Hydra, the game should be over.
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Master Yi is an absolutely terrifying champion to see rush out of the jungle. It makes sense to include him as a potential melee ADC choice. His problem in relation to other melee ADC's is his lack of sustain and susceptibility to being harassed. Thus, the ideal support has to be a bruiser bully, yet still comes with some counter harass. A single AP item (like Haunting Guise) makes Nunu's snowballs hurt like hell considering its 1.00 AP scaling, and Nunu's ult makes people think twice about jumping on him. Blood Boil is just icing on the cake.