I tried the Grado SR80i at the store, but had to remove the case on my phone to get the 3.5mm plug far enough into the phone to actually make the connection. I have a Google Nexus 5 and I tried the SR80i with three different cases and none of them worked (nor did the salesman's iPhone with the case on). The connector on the headphones has a plug too short to go in deep enough and a plastic shoulder above it that prevents the plug going in far enough. The other brands I tested don't have this problem, having a longer plug or a skinnier design overall. There seems to be two solutions 1) Find some kind of 3.5mm pigtail cable that would work or 2) Buy something else.
While I would prefer solution 1, I'm open to suggestions for 2.