I have both the Icom IC-2200H, and the Yaesu FT-2800M and this is my personal take on them both.
As WW pointed out they both have the RJ-45 modular mic plug, and I'm not crazy about them as a mic plug, just not durable enough. However Icom uses a striaght forward system of wiring their mics to these plugs, and Yaesu uses some sort of odd system that makes it difficult to use another manufacture's mic without some sort of extra adaptor.
The menu system on the Yaesu is a little more complicated than the system used by Icom, and the Icom is far easier to program using the radio mounted controls where the Yaesu is a little more dependent on the microphone controls.
The radio mounted controls on the Icom seem a little more rugged, the controls on the Yaesu seem a little more delicate, and the VFO knob on the Yaesu FT-2800M has no resistence and is easy to bump and change frequency or memory channels, I've actually had my Yaesu change memory channels when my Jeep hit a hard bump in the road.
When it comes to VHF / UHF mobile radios, I tend to favor Icom over Yaesu, with HF station radios I favor Yaesu, I would take an FT-450 over the IC-718, and I'd take the FT-950 over one of the Icom Pro series, but with mobile radios I believe Icom has the leading edge over Yaesu....
But this is just my opinion....your mileage may vary.....