Udyr: Kite
Kog'maw: blow him up
Akali: Pink ward, CC and blow her up.
Garen: Peel for your ADC, let him slowly kill him
Braum: you said you don't have a problem here.
As a mage? Early void staff, if there's another AP on your team Abyssal Sceptre as well. Rylai's may help with the kiting.
I think the overall problem you're having is that tanks are strong and are a key part of your team. You don't need multiple sources of high damage, merely one high consistent physical damage dealer (ADC) and some source of magic damage (does not need to be a dedicated APC though) is sufficient damage, and the remainder of your team being committed to crowd control and a bulky front line is much more valuable in close fights than additional damage.
The advantage you have against a team like this should be a safer lane phase and the ability to get ahead early and snowball.
Caveat: Admittedly not sure how strong tank-akali is. It's possible she does too much damage for building full tank, eventually she'll be nerfed then.