This is pretty simple AD is the funnest way of stacking Ez

Ez is great for harassment and burst damage. Mystic shot is a great to deal damage early game. But in late game I rely on crits, which can can kill tanks extremeley fast. Boots of swiftness work very well for chasing and ecscaping. I do have mana problems in the begaining of the game, but not in late game.
This stack is good during most phases of the game. the reason why I don't have ignite is because ez doesn't need extra fire power, which means I can get some thing else for summoner spells. I get teleport so I can recall without losing levels. I get ghost because ghost is an amazing way of escaping.
As soon as you ur blood thirster look for 1v1 battles (avoid characters like warwick), because when you get your first phantom dancer you become

MR.DOMINATION.

life steal in the start is really good for ez, it gives him extreme laning power.

When you start out you want to buy a vampiric scepter. You can not buy any potions. when you go into lane be careful about wasting your mana. When you feel the need to recall than just recall and buy boots of swiftness if you can get the advarce blade than buy that, next just get a zeal. after that finish your bloodthirster, now you can finally get your infinty edge. after your infinty edge get a phantom dancer. by now you will be killing people very fast. after you can finally get that second zeal, following it is your youmuu's ghostblade (gettting rid of your avarice blade). finally you can get your last phantom dancer.

core build

item reasoning

boots of swiftness Ezreal needs speed to escape due to his squishy nature
youmuu's ghostbladeCD reducttion, Armor pen, crit chance, and AD.
bloodthirster Amazing AD and life leech to go with Ezreal's decent minion farming.
infinity edge Extra crit damage/chance and the Boom in straight AD.
phantom dancer Crit chance plus even more movement speed and then even some attack speed it's just that useful so I get two.

Ghost-Great summoner spell for escaping or chasing someone down either way it is one of my favorites.
Flash-Another summoner spell that serves well when escaping or going in for a definite kill.
Teleport-One of my all-time favorite summoner spells that lets you get back into the after recalling or dieing.
Ignite-Just damage and you should deal enough of that to go without it.
Clarity-It can be useful but I just try to kill the guy before he gets his stun off.
Smite-Not unless your jungling.
Clairvoyance-An excuse not to use wards, which can make a lazy team fail.
Fortify-To save a tower kill the people attacking the tower.
Revive-Why die when you don't have to.
Clarity-You will need most other summoner spells more.
Heal-Lifesteal from bloodthirster is enough to get a lot of health fast.
Exhaust-Good for 1v1 but makes it harder to escaping
Rally-Useful for soloing towers and teamfights neither of which should you need much help with.
Promotegood luck getting a summoner spell that no longer exists.

Pros

Great damage
good chasability
Harrassment
Global ult

Cons

low durability
targeted
idiots get the gender mixed up
hard to came back from a bad game
mana problems

Please leave Pros and Cons suggestions.

Ezreal is a character that gets the damage done. Ez easily tears through enemy DPS in a teamfight. Armour penentration can be useful to get an ace on the tanks after owning all the DPS when you have your madred's bloodrazor along with the last wisper you are a true panzer, but is still imporant to remember that DPS need to die first.

Starting out with a Saphire crystal gets rid of most mana problems and lets you stay on for maxium timing. Hitting the sheen giving the awsome X2 damage in the start and it works with ur mystic shot. After nuking them with the sheen pick up boots of swiftness to ensure they don't escape your wrath. Then just as they start stacking armour because your owning them to hard buy a last whisper to keep the killing up. Now for some serious AD get bloodthirster for lifesteal and fricking brutal AD. Just so That you can Panzer tanks all day grap a Madred's Bloodrazor. Finally comes the durability from trinity force ugrading sheen to X2.5. Just to finish off with a ****-load of AD is the infinty edge, you can use a Black Cleaver if they have too much armour.