I'll throw another opinion out there... I've flown 5-6 different PA planes from the small Addiction and the bigger one to the 58" Extra, AMR bipe, and the Bandit. I really didn't care for any of them. I would have 5 years ago. Then I flew profile planes that are incredibly light wing loaded. PA planes are similar, very very light wing loading. The addiction series in particular is very floaty, flies very well in slow harriers and close in stuff. But every PA plane I've flown is terrible at anything fast. Tumbles, pop tops, etc are just about impossible as the light wing loading prevents them. So if low/slow/close in stuff is your thing, then perhaps the PA planes will suit you. If you like high speed violence, they are the wrong choice. I don't like their construction techniques, and some things are just difficult (battery changes on the AMR for example). They seem somewhat fragile as well.
3dhs tends to be in the middle (on wing loading), though some planes are exceptions. The 42 and 51 Slick are just awesome all around planes. Fast violent tumbles on them are better than anything else out there I think. And they still harrier and do slow stuff well, and decent at precision too. The 59" Slick is different as others noted. Gyro said it best above - it's a precision plane that can 3d, while the rest of the Slick series is the opposite. Nothing wrong with that, but if you loved the 51 and want a bigger one, the 59 is not it. Go up to the 71. I've owned all the Slicks up to an 89" Slick. Have also had all of their extras up to the 87, and every other 4x" and 5x" plane they make. The 57" Extra is nice, but I'd probably buy the EF 60" one over it. I like the scheme better, and lately the company too. 3dhs doesn't seem to answer phones or emails much anymore, and although they make nice products, when possible I'll support companies with better customer service. EF has that. And planes seem to come back in stock far more frequently at EF. I truly love the 42" and 51" Slicks though, and will likely always own one, as nothing I've found can do what they do in tumbles.
I've owned all the 3dhs 7x" planes too, my favorite there is the Velox. I can fly that plane in a tiny little box, small airfield with ease. I can't do that nearly as well as the 71" Slick, 72" Extra, or 74" Edge, they take a bit more work. The Velox is just an awesome plane, violent and crazy pitch authority, and yet will carve the sky pretty well also. Very smooth harriers. And it can easily be flown in a space normally better suited to a 60" plane.
Next I'd choose a 71" Slick probably. I've had 4 of them, and like them too.
On the EF side, I've owned their 48" extra, edge, and MXS, as well as the 60" Edge and MXS. Have flown the 60" Laser and Extra, and I also own the EF 78" Extra.
I would toss the 78 out if your flying site is smaller, that plane can eat some airspace quick. Flies really well, but I need a larger field to fly in than say my 70" Velox, or any 60" plane. On the 60's, the Edge is great if you are learning 3d. If you want something incredibly stable in harrier and smooth all around, it does that. The MXS is as you noted fun and good at high speed antics. It's also great at slow stuff, though the Edge is slightly better. The Laser is very very similar to the MXS to me. I have about seven flights on a 60" Laser and between it and the MXS, well I'd buy whichever you think is prettier. Seriously.
As for the 60" Extra, I've only got one flight on one of those, and the servos were HV servos running at 5.0 volts, and the battery wasn't up to par. So the power stunk, and servos weren't quite right. Still I loved it. The owner has since fixed both of those issues and it should be out at our field this weekend, and I'm eager to play on it some more! I don't have enough time to tell where the Extra shines over the MXS/Laser or Edge, but I absolutely love the red scheme. If I kill my MXS I may replace it with an Extra just for fun. I think the Extra has a bit of wing rock in a harrier, at least compared to the other three, but it's by no means bad, and easy to just fly with it. Knife edge was smooth, as was just flying around. Nice plane.
Overall I think the EF planes are built a bit tougher/heavier than 3dhs, and have a slightly higher wing loading. But they still fly incredibly well somehow. Over the last couple years I have been drifting more and more towards the EF planes. The customer service, availability, and flying characteristics are all well suited to me.
Decide what your intended flying style is, and choose one that does that stuff well....