2v2 and 3v3 Strategy

6min Speedling Rush

Open with a 12-14 pool, and delay gas until your pool is almost finished. You want to delay gas to get out a second queen AND (here is the kicker) a very fast macro-hatch.

Ideally, you would hit 450 minerals around the time that your first queen finishes so you can immediately drop a macro hatch and a second queen. Once you are at 18 drones immediately switch to all out ling production. Only mine 100 gas for speed and put those drones back on minerals asap. Getting the macro hatch means that once you are ready for your second inject, you should be able to inject that hatch shortly after. Your speed should finish up when you are at about 20 lings and they should already be moving across the map.

Your objective here is to try and damage any opponents who neglect to wall off, and kill any expansions that go down. You can outright kill a zerg that goes for 1base roaches or a Protoss that doesn't wall.
DO NOT lose all your zerglings if possible - you need them for map control.
From here you can either transition into banelings (Get a nest, evo chamber, and at least 3 more drones for gas)
Or expand and do whatever you'd like (Having the macro hatch is great for droning up your expo)
Make sure to get ling attack upgrades and adrenal glands eventually.

*The build is most vulnerable to 8pools, proxys, etc. if you scout a fast pool, throw down a spine crawler in your mineral line as soon as your pool finishes.

2 Base Muta Rush

The objective of this build is to get 7-8 mutalisks out very quickly. It is best on large maps or maps with a pocket expansion.

You are going to either do a fast expand or a 12-14 pool/gas and expand behind it. In some cases you can skip zergling speed (if you are facing primarily protoss or sometimes even terran opponents) which will allow you a faster lair and spire.

Stay on one gas until your expansion is up, try to get 4 gasses up and running right away. your expansion is there to get more gas - not necessarily minerals, so its not necessary to saturate your expansion totally. Once you have almost saturated your main and have 100 gas start your lair. This is the most vulnerable time - make overlords and a spine crawler or two while you stack up gas. drop a spire as soon as your lair finishes, make a few lings for map awareness.

Once your spire pops, start +1 air attacks and as many mutas as you can afford, if done correctly, you will have around 800-800 minerals/gas saved at this time. Start harassing with your mutas - go for workers at first. Your goal is to keep your opponents off balance while your teammates macro and you can sometimes secure a 3rd base. From there you want to get a second spire for upgrades, and drop a macro hatch and dump your excess minerals into zerglings once you have 50-75 drones. If another zerg player is also going for mutas, kill them with either spine crawlers or get a couple infestors to leave around your base. Obviously your biggest threats are thors and high templars, magic box them or stay away, also, don't trade with blink stalkers if possible.

Another variation is to open with my fast macro hatch build then transition into mutas after expoing, but the mutas hit very late in that case.

2rax FE

Probably my worst race, but I've had some success with a 2-rax fast expand build. basically open with a 12rax and a 13rax, then get a 15orbital/15depot 21depot. Throw down a second CC when you have some marines around 26 supply using the income from your first mule. You can either pressure your opponents or more likely, use them for defense. throw down your 4th depot and double gas around 30 supply. Your 2 rax should then get a tech lab and a reactor.

From here you can do different stuff, but once I start mining from my nat I usually get the following; 3 more barracks, double engineering bay, a factory and a bunker or 2. Once the factory is done start a reactor and starport right away. stay on 2 gas for a while since you only need gas for upgrades and medivacs and a few marauders mixed in. Late game you want to start getting vikings out to kill colossus and brood lords.

4gate Blink

A simple build that should work until probably high plat/dia is a 4gate+blink build. Open standard, but you want to get your cybercore down as soon as your first gateway finishes up. Then add on a second gateway and use those to make around 3 stalkers a zealot or 2 (you can skip the sentries in most cases). you only will need to chrono warp gate 2 times, maybe 3, since you aren't going to push until blink is done.

Add on your twilight council once you are at 2 gateways and have started warp gate. Once WG is about 2/3 of the way done, add on your 3rd and 4th gateways. This build is good for early pressure, in lower leagues with good blink micro it can outright win the game. In higher leagues, you want to coordinate your attack with your teammates - using overlords to spot the high ground is essential for getting your stalkers into the enemy base. If you sense the attack is going badly, back off and try to save as many stalkers as possible. In most cases you can continue to harass and use them for map control while you expand behind the pressure.

Once you get your expo up, make sure to add on a least 1 forge for upgrades (preferably 2 since you already have the council for upgrade abilitiy) and a robotics bay (you can go for immortals against mech or mass roach, or colloss against ling/festor, bio, or another protoss) as well as at least 1 more gateway (2 is optimal)

Keep in mind that a 4 gate in a team game is not completely all-in. It is completely viable to 4 gate just to have enough units to secure an expo, however if you see the enemy team all going for a fast expand, you will need to put on pressure and try to do damage so you can keep up in the macro game.