Alright, so the game before this one got 3200 plays. This one is now up to 2.2 million. Extrapolating on this pattern, HyperHippo's next game will have 230 trillion plays. Good luck HHG!
Keep your Speed as high as possible and rush down ranged enemies to pick them off before they can do attrition damage. Kite Academy Guardians while you pick off weaker melee enemies. Pugilist's strength is killing tough enemies 1v1; Uppercut and Sweep both negate counterattacks and have 100% accuracy, but the new Vital Strike skill also has 100% accuracy, and unarmed Vital Strike also negates counterattacks. Uppercut > Vital Strike > Sweep > basic attack for 4+ unreturned hits. With a few points in the Unarmed skill that combo should kill most enemies, leaving you free to basic attack something weaker until your cooldowns come back up. Always be on the lookout for opportunities to hit multiple targets with Uppercut and Sweep, when it's safe to do so. The biggest threat in Act 3 are the Horrors (Thick Skull reduces the length of their daze), so gear heavily into magic resist (~4-5 points) to counteract their poison. Spyglass Raptors if they're too fast for you, and avoid Lieutenants.
Just got the impossible badge, here's how I did it. Found it to be easiest with Pugilist, starting Thick Skull/Fightin' Shoes. Score is based on time taken, kills, gold, difficulty, and act. Basically Suicide Act 3 is worth 110k just for completing it, and you need to make up the remaining 10k with kills (+200/kill) and gold (+20/g). Time counts against you (-12/sec), so you end up needing 50 kills for the 10k points, plus an additional 1 kill for every 16 seconds the game lasts to counteract the time penalty. I ended up with 125k points, 163 kills and 37:08, with 465g. Strategy: This is a pure speed run, you should spend about 5 minutes in each of the first 2 areas, and even less per area from there on. Don't bother searching everything, grab what you can and kill as much as possible but head on fast.
Stat priority: Speed > Magic Resist > Attack > Defense
Skill priority: Toughness > Unarmed > Celerity x2 > Unarmed x3
Useful Spells: -Vital Strike-, Sleep, Heal, Charm, Bless Weapon
Oh man, I hope so! Just like Capitalism!