Ezreal QoL Buff
I do fine on every ADC except one, Ezreal. I've tried every build, rune and mastery combination you can imagine but never found him competitive with traditional ADCs like Vayne, Sivir, Jinx, Graves etc. regardless of what I went for. The classic TF build seemed the most natural but your Qs start to tickle late game. The Muramana builds have better poke but suffer from the most atrocious early game of any ADC (without the scaling to match). Muramana's power is also not very consistent and drains mana extremely quickly.
Even without greedy builds, his lane phase is subpar because all someone has to do is stay out of his AA range and go behind minions. Most ADCs love minions but they are the bane of Ezreal. In addition to reducing his R damage, they can block Q and E. I realize he can use W too but it's magic damage without AD scaling and quite mana intensive for a narrow skillshot that won't even help push the wave.
Any competent ADC can just shove the wave and watch you pathetically struggle against their superior waveclear while being unable to damage them. The only tool you have left is your measly 550 range 50 base AD AA and pretty much every ADC will out-trade you in those situations. The reason is simple. Most ADCs have higher base AD, higher base HP, better AA steroids and tend to have skillshots that hit through minions.
Moreover, don't forget the poor saps that have to support Ezreal. Leona, Alistar, etc. go in and then Ezreal can only AA because his skills are useless in a minion wave. No matter how good your support is, Ezreal can't capitalize on the plays as well as standard ADCs. In fact, this makes the support basically unable to out-trade and create an advantage even when he hits his skillshots perfectly (leading to a passive and slowly losing lane). Let's say a miracle happens and a great Alistar combo saves the day. Ezreal gets a kill and... he comes back with Tear + Boots to push that advantage.
I find Ezreal fun to play but he seems outclassed in virtually every category. There are far better ADCs for DPS, turret-pushing, utility, early spikes (Corki), waveclear, lane-bullying (more like the opposite), and even his poke isn't categorically better. A Corki, Ashe or Sivir will poke just as hard and with a larger AoE. The escape is nice but not really any safer than Corki or Tristana's W since it's shorter ranged. I'll grant that it allows him better kiting and chasing.
Anyway, I think Ezreal's early game needs a bit of a buff and I'd recommend that his base AD be tuned more in line with popular picks. Let's look at some random base AD numbers:
Graves is 54 Vayne and Jinx's are 53 Sivir, Lucian & Tristana are 52 Ashe is 51 Caitlyn is 50 Kog & Twitch are 49
For the mediocre scaling he has, Ezreal has a fairly low base AD. Others in that category either have on-hit effects/steroids like Kog & Twitch or higher range.** I don't know how much it would help but giving Ezreal 52 base AD would be in line with his mid-game centric power spike and late game fall-off.**