Hello pazio community and welcome to this thread after looking at a few places I'm looking to do as most dpr as possible core rule book only can be any race/class just throw out your ideas, theory crafters please help me!
The guy said core rule book only
I would guess a twinked up fighter archer would be the best DPR you can do out of the core rulebook. While smiting a Paladin archer could probably exceed that, but it would take more time to simmer and get to where it wins. Certainly at 20 the smiting Paladin would win.
Yar!
We need more info. What level? What buffs are allowed? (ie: self buffs only - buffs from allies/cohorts/other PCs - buffs of a specific duration or longer - only have X number of rounds to buff - no buffs at all - etc)
Also, do you mean DPR that you can focus on a single target if you so desire?
Or do you mean total damage done over any number of creatures regardless of being able to focus it?
Because there are some who follow the later, and will give examples of a 6th level sorcerer doing more DPR than a 20th level non-caster, because a simple little 6d6 fireball, when used to bath in fire a mass of diminutive sized creatures all squeezing into the area of the fireball (and still being individual creatures instead of a swarm), will do an average of 21 damage to every individual creature hit. 25 diminutive creatures per square time 44 squares in a fireball x 21 damage each = 23100 total damage. If the creatures are Fine sized, it jumps to 92400 total damage. At level 6. With an average, run of the mill, non-optimal, Fireball. In my opinion, this example's DPR is still only 21, as any individual target will only take 21 damage (you cannot focus it all onto one creature), but because there was more than one target taking the same number of damage, this method sees the numbers skyrocket. And there are some here who argue that this is a true and valuable indication of DPR. (I disagree)
If you want the later, then a high level caster with a large area of effect spell targeting 100 Fine sized individual creatures per square of every square the spell effects will dominate. The only non-caster that can come close is a Whirlwind Fighter (enlarged as big as possible, with lunge, using a reach weapon or a whip) in the same situation.
If you mean the former (a character that can focus the DPR onto a single target if so desired), then we can talk.
~P
Pretty much what Artanthos says, and he can make even a monk do decent damage so I trust his Optimization-fu.
Core only? Probably a druid. Grab a lance, get spirited charge and power attack. You + your pouncing tiger should be about as good as it gets.