First NU

Magcargo
Ability: Flame Body
Calm @ Light Clay
252 HP/56 Def/200 SpD
-Reflect
-Light Screen
-Memento
-Lava Plume

My amazing Double Screen Memento Magcargo! With its amazing defense paired with a boosted HP and SpD, this guy can take a few hits without a problem. Aside from the terrible problem with weaknesses, Magcargo's stats are pretty awesome and the same goes for his movepool. Lava Plume is there so Taunt leads don't completely destroy me. Reflect and Light Screen should go up just fine and, if by some rare chance it isn't dead yet, Memento can further weaken the opponent.

Chatot
Ability: Tangled Feet
Timid @ SALAC BERRY
252 SpAttack/252 Speed/6 HP
-Substitute
-Nasty Plot
-Hyper Voice
-Heat Wave

This birdy can use the screens setup by Magcargo to Sub up and Nasty Plot away. Hyper Voice and Heat Wave hit every pokemon in NU for at least neutral damage, but with its huge SpAttack behind it, that will be all it needs. The Life Orb damage is going to end up hurting me, so any suggestions on a different item?

Furret
Ability: Keen Eye
Jolly @ Choice Band
252 Attack/252 Speed/6 HP
-Return
-Sucker Punch
-U-Turn
-Trick

A simple Trick Furret, however I plan on keeping that band for a little while before passing it on to something that would really hate it. Return is a very strong STAB, Sucker Punch can end sweeps like ur Hyper Voicing Chatot, and U-turn can scout out counters for Furret that would eat up her attacks such as Mawile, which ends up being good for me (you'll see why).

Exploud
Ability: Soundproof
Hasty @ Choice Scarf
100 SpAttack/200 Speed/210 Attack
-Fire Blast
-Return
-Thunder Punch
-Brick Break

This is the answer to the Mawile that I am very afraid of for its typing and movepool. If Mawile is sent out to counter my Furret, then I can send in this Exploud to OHKO with Fire Blast. Also, it is a nice surprise against opponents to see that they were beaten out by a meer Exploud. I was thinking about a Bulk Up set to utilize the screens if Chatot wasn't going to be helpful enough, but Exploud's movepool is pretty strong in the Special side as well as Physical.

Sableye
Ability: Stall
Adamant @ Leftovers
200 HP/176 Attack/86 Defense
-Substitute
-Swagger
-Psych Up
-Payback

This is a back-up plan for the screening that works pretty well if I can get a Substitute up in time. Swagger on my foe, then copy the +2 or +4 Attack stat-ups that they received. Payback always hits last thanks to Stall so 100 base power off of STAB and a pretty decent attack stat along with the stat-ups is pretty powerful.

Parasect
Ability: Dry Skin
Impish @ Leftovers
236 HP/24 Attack/100 Defense/146 SpDefense
-Spore
-Stun Spore
-Seed Bomb
-Protect

This Parasect basically rides off of Rain Dance users in NU, which there are a few of. Besides that, it can switch into water attacks that I predict to hit Magcargo. Spore puts my opponent to sleep 100% of the time and on the switch from the asleep pokemon to a new one I can paralyze them with Stun Spore. Seed Bomb is a pretty powerful STAB and Protect is to scout, gain Lefties HP and, in rain, an extra bonus of HP.

Thanks for RMTing!!!!

This seems like a very solid team, but as you already well know, taunt screws up most of your strategy. It seems like a couple of your pokemon rely too much on the screens to sweep. On Chatot, change the item to salac berry DEFINITELY. After that salac boost, you outrun everything in NU.

I've never actually used a parasect b4, so I can't give you much of a rate on it.

Everything else seems fine to me.

I will probably go further in-depth on this team later for a better rate, but those are my suggestions as of now.

0.o Well I'll slap on a Salac Berry but that would basically copy urs. W.E. I can see urs works like a charm Thanks Bri!