Ichorid depends on their list. If they play the destroy target permanent when comes into play Angel it's nearly impossible, else you can tutor up Platz and win. Leyline is annoying but you can play around it. Chalice of the Void hurts more.
Fast combo is a really bad match-up... Without FOW they can basicly ignore you. I've won very few matches against fast combo. Your best bet is beating them to it with the Dragon kill.
Shop depends on the version. G1 is pretty rough but I like my chances G2 with 3x Needle and 4x Ancient Grudge.

Oath isn't a walk in the park either. You're win condition is playing dudes and their dude (Tyrant) is better than yours. Again the Dragon kill is your best option.

But the deck has a lot of broken cards and enough tutors to find them. It IS capable of broken plays.

I'm definitely playing Tinker, I guess you missed it
About drawing, you're right. I've tried alot of versions and all of the cards you named but this suited me best. I feel tutors are better than drawing in CA. Intuition is the key card to resolve and you have so many options (thanks to Life from to Loam). I would rather tutor for the card that I'm missing than hoping to find it with Thirst.

Yeah that game took way too long

You dont need Squee for Possessed Portal, Life from the Loam works just as well (both are replacement effects). It's still a bomb even in a format without 4 brainstorms.

I've been playing CA for the last 2 years on MWS for fun from time to time. I never took it to a tournament but I came close a few times. I kept tweaking it over the years and here's what I got now:

// Mana
    4  City of Brass
    1  Seat of the Synod
    1  Tarnished Citadel
    1  Urborg, Tomb of Yawgmoth
    1  Tolarian Academy
    1  Undiscovered Paradise
    4  Gemstone Mine
    1  Mox Jet
    1  Mox Sapphire
    1  Mox Ruby
    1  Mox Pearl
    1  Black Lotus
    1  Mox Emerald
    1  Mana Crypt
    1  Sol Ring
    1  Mana Vault

// Engine
    4  Bazaar of Baghdad
    2  Squee, Goblin Nabob
    1  Life from the Loam

// Tutors
    1  Vampiric Tutor
    1  Entomb
    1  Demonic Tutor
    4  Intuition

// Reanimate
    4  Goblin Welder
    4  Animate Dead


// Targets
    2  Sundering Titan
    1  Platinum Angel
    1  Duplicant
    1  Triskelion
    1  Possessed Portal

// Protection
    4  Duress

// Broken
    1  Tinker
    1  Balance
    1  Regrowth
    1  Time Walk
    1  Ancestral Recall
    1  Yawgmoth's Will



/// Sideboard
SB: 1  Jester's Cap
SB: 3  Ray of Revelation
SB: 1  Darkblast
SB: 3  Pithing Needle
SB: 4  Ancient Grudge
SB: 3  Pyroclasm


I've chosen to go with 5 colors. Balance, Life from the Loam and the sideboard options are worth the hassle of the 5c lands. Urborg is a nice mana fixer and you allways get an extra target with Titan. You can also get rid of nonbasic lands too (Shop, Bazaar, LOA even something annoying like Maze of Ith). Undiscovered Paradise and Tarnished Citadel are up for debat but I havent found anything better and Paradise's drawback can give you another discard option for Bazaar.

I've cut down from 4 Squee's to 2. The only reason I still use 2 is for a hard lock with Possesed Portal. Squee's are the first cards that get sided out though.

Every CA deck should run 4 Intuitions and LFTL gives you some interesting Intuition piles in this version.

The dragon combo (Eternal Witness + AR/Trike kill) has been going in and out of the deck (and sideboard). I've got a love/hate relationship with it Sometimes it gives me the edge against fast combo decks but other times it's just a dead draw.

The worst matchups are fast combo and Oath IMO. I'm hoping it makes a return to the metagame, the deck is too much fun (except for the mirror, heh)

I've been testing the combo in a drain build too. Obviously my list is very close to yours but I have been trying to incorporate a playset of Transmute Artifact, reasoning that both combo pieces only cost 1 and 2 mana. Of the 12 games I played, Transmute Artifact won me 4 games (one of which I used it to get Lotus and cast Will). It's too early to tell if I'm better of playing I-seal and some more disruption.

To make sure I can get a Grindstone or Painter back I added Academy Ruins (and cut LoA). So far it has been good but nothing spectacular.