I would agree for the most part with the Charger, but the 300 with a V8 (comparable HP) can't be purchased for under $37k. You can get the GXP-G8 for the same price as the V8 (non-SRT) Chrysler 300. I think the only other car that seems to pop-up in the large 4-door "performance sedan" category would be the Nissan Maxima, but because it's a FWD has a TON of torque-steer. If you were considering a Maxima, I would strongly advise you to save a stack of cash and buy the Altima instead (which is the same size interior and has roughly the same V6 engine available: 260hp vs 290).
On paper the Charger and G8 are comparible but after test driving all 4 (including the Maxima), I wouldn't put either the 300 or the Charger in the same class as the G8 in all-around performance and handling wise. Both of the Charger & 300 have very soft "touring" type suspensions (even the R/T Charger) that produce a ton of body roll while cornering and a "float" feel over the bumps (unless you go with the $40k+ SRT8 versions). The Maxima is definately better than the 300/Charger but the G8, while not top-of-the-line (when comparing to more "performance-based" 2-door coupes with backseats like the Mustang/Camaro/Challenger), is IMO the best of the 4 in this category.
I would really like to get the SRT Charger out on the road and compare it to the GXP version of the G8. The GXP has a de-tuned Corvette V8 in it (easily re-tunible) with the matching 6-speed manual tranny, all for ~$40k.