I'm a lefty and got to shoot a couple of them. I travelled around every archery shop I could find from Spruce Grove to Sherwood Park at the time, trying every left handed bow I could find or try. I even tryed a couple RH, as I am actually right handed, but re-learned as a lefty because I'm left eye dominant.
Mathews weren't an option - draw specific, nothing in LH, I did shoot a Monster at 70# in RH in my draw length and hated it (also probably louder than a .22LR), shot a solocam bow in RH and it was twice as nice!
I narrowed it down to my preffered bows at the time, after trying several (keep in mind only my opinion/choice based on what I was able to try as a lefty...a few years ago)
#5 Hoyt (pro series - I think it was an admiral? - not sure)
#4 Mission (not a pro series, more entry level - can't remember the model)
#3 Darton (i think it was called a 3800?)
#2 PSE (X force dream season)
#1 Bear (can't remember the model)
Problem was when I went back to get the Bear - it was sold!!! lol
Don't know much about the newer ones - but I liked the one I couldn't get!
I ended up buying the PSE and was happy with my purchase, smaller valley in near the end of the draw cycle (which I don't like to this day) - but quite efficient compared to any of the others I tryed as it get's better IBOs with the same arrow weight pulling 10lbs less...
Now 4 seasons later if I got "permission" for a new bow (again) - it would be a Bowtech - hands down, shot a few last year and just about purchased...