The biggest improvement that the 370 needs is the sound. As posted above, a good zorst willsort this, can't wait to get that shiney new Akrapovic Evo on, I can't however comment on the differences between the 370 and 350.
She is a "looker" and head turner, that will increase with a better sounding zorst. I have to say the power delivery is fantastic for a N/A car.
My criticisms would probably only run to the rather "notchy" gear change, great on the down shift with the rev synch and, as mentioned, visibility is poor, but hey, it's a sports car.
Still finding my way with it, as we've virtually been snowbound up here since she was run in, and every road is way too greasy at the mo. After my Akro is fitted, the next thing is a tinker with the suspension/ride hieght, aesthetically not fully to my taste., with a possible Injen induction kit to follow, still need to investigate that further though.
Overall, a great package, just have to cut down on the luggage for this years Euro tour