Classes by Stats:

STR + CON
Barbarian  (Bloodrage Vigor or Thunderborn)
Fighter    (Battlerage Vigor)
Runepriest (Wrathful Hammer)
Warden     (Earthstrength or Storm)

STR + DEX
Barbarian  (Whirling Slayer)
Fighter    (Tempest Technique)
Monk       (Stone Fist)
Rogue      (Brutal Scoundrel or Ruthless Ruffian)

STR + INT
Swordmage  (Assault)
Warlord    (Tactical or Resourceful)

STR + WIS
Cleric     (Mele)
Fighter    (Combat Superiorty)
Paladin    (Avenging)
Ranger     (Mele, Pet, or Marauder)
Runepriest (Defiant)
Warden     (Wildblood or Life)
Warlord    (Insightful)

STR + CHA
Barbarian  (Thaneborn Triumph)
Cleric     (Mele)
Sorcerer   (Dragon or Cosmic)
Warlord    (Inspiring, Bravura, Resourceful or Insightful)

CON + DEX
NONE!!!

CON + INT
Artificer
Swordmage  (Shielding or Ensarement)
Warlock    (Infineral or Vestige)
Wizard     (Staff of Defense, Tome of Binding or Tome of Readiness)

CON + WIS
Battlemind (Battle Resilience)
Druid      (Guardian or Swarm)
Invoker    (Wrath or Malediction)
Shaman     (Protector or World Speaker)

CON + CHA
Ardent     (Elation)
Bard       (Valor)
Battlemind (Speed of Thought)

DEX + INT
Rogue      (Cunning Sneak)
Wizard     (Wand of Accuracy)

DEX + WIS
Avenger    (Persuit)
Druid      (Predator)
Monk       (Centered Breath)
Ranger     (Bow or Mixed Mele+Bow)
Seeker     (Bloodbond)
Shaman     (Watcher)

DEX + CHA
Rogue      (Artful Dodger)
Sorcerer   (Wild or Storm)

INT + WIS
Artificer
Avenger    (Retribution or Unity)
Invoker    (Preservation)
Psion      (Telekinesis)
Shaman     (Stalker)
Wizard     (Orb of Imposition or Tome of Readiness)

INT + CHA
Bard       (Cunning)
Psion      (Telepathy)
Warlock    (Fey, Star or Dark)
Wizard     (Orb of Deception or Tome of Readiness)

WIS + CHA
Ardent     (Clarity)
Bard       (Prescience)
Cleric     (Caster)
Paladin    (Protecting)


Races by Stats:

STR + CON
Goliath (MM1)
Minotaur (MM1)
Orc (MM1)
Warforged (EPG)

STR + DEX
Half-Orc (PH2)
Bugbear (MM1)

STR + INT
Genasi (FRPG)

STR + WIS
Longtooth Shifter (PH2)
Minotaur (PH3)

STR + CHA
Dragonborn (PH1)

CON + DEX
Bullywug (MM2)
Gnoll (MM1)
Kobold (MM1)
Revenant (Dragon Magazine #376)

CON + INT
Githyanki (MM1)

CON + WIS
Dwarf (PH1)
Wilden (PH3)
Duergar (MM2)

CON + CHA
Half-Elf (PH1)
Hobgoblin (MM1)

DEX + INT
Eladrin (PH1)
Githzerai (PH3)
Shadar-Kai (Dragon Magazine #372)

DEX + WIS
Elf (PH1)
Razorclaw Shifter (PH2)
Githzerai (PH3)
Wilden (PH3)
Bladeling (MotP)

DEX + CHA
Halfling (PH1)
Changeling (EPG)
Drow (FRPG)
Goblin (MM1)
Kenku (MM2)

INT + WIS
Deva (PH2)
Shardmind (PH3)

INT + CHA
Tiefling (PH1)
Gnome (PH2)
Shardmind (PH3)
Changeling (EPG)

WIS + CHA
Kalashtar (EPG)

Other
Human (PH1)


Stats for builds/features by class:

Clarity Ardent: WIS + CHA
Elation Ardent: CON + CHA

Artificer: INT + [CON or WIS]

Persuit Avenger: DEX + WIS
Retribution Avenger: INT + WIS
Unity Avenger: INT + WIS

Bloodrage Vigor Barbarian: STR + CON
Thaneborn Triumph Barbarian: STR + CHA
Thunderborn Barbarian: STR + CON
Whirling Slayer Barbarian: STR + DEX

Cunning Bard: INT + CHA
Valor Bard: CON + CHA
Prescience Bard: WIS + CHA

Battle Resilience Battlemind: CON + WIS
Speed of Thought Battlemind: CON + CHA

Mele Cleric: STR + [WIS and/or CHA]
Caster Cleric: WIS + CHA

Guardian Druid: CON + WIS
Predator Druid: DEX + WIS
Swarm Druid: CON + WIS

Battlerage Vigor Fighter: STR + CON
Tempest Technique Fighter: STR + DEX
Combat Superiorty Fighter: STR + WIS
Brawling Fighter: STR + DEX

Preservation Invoker: INT + WIS
Wrath Invoker: CON + WIS
Malediction Invoker: CON + WIS

Centered Breath Monk: DEX + WIS
Stone Fist Monk: STR + DEX

Avenging Paladin: STR + WIS
Protecting Paladin: WIS + CHA

Telekinesis Psion: INT + WIS
Telepathy Psion: INT + CHA

Bow Ranger: DEX + WIS
Mele Ranger: STR + WIS
Pet Ranger: STR + WIS
Marauder Ranger: STR + WIS
Mixed Mele+Bow Ranger: DEX + WIS

Artful Dodger Rogue: DEX + CHA
Brutal Scoundrel Rogue: STR + DEX
Ruthless Ruffian Rogue: STR + DEX
Cunning Sneak Rogue: DEX + INT

Defiant Runepriest: STR + WIS
Wrathful Hammer Runepriest: STR + CON

Bloodbond Seeker: DEX + WIS
Spiritbond Seeker: STR + WIS

Protector Shaman: CON + WIS
Stalker Shaman: INT + WIS
Watcher Shaman: DEX + WIS
World Speaker Shaman: CON + WIS

Dragon Sorcerer: STR + CHA
Wild Sorcerer: DEX + CHA
Storm Sorcerer: DEX + CHA
Cosmic Sorcerer: STR + CHA

Assault Swordmage: STR + INT
Shielding Swordmage: CON + INT
Ensarement Swordmage: CON + INT

Earthstrength Warden: STR + CON
Wildblood Warden: STR + WIS
Life Warden: STR + WIS
Storm Warden: STR + CON

Fey Warlock: INT + CHA
Infineral Warlock: CON + INT
Star Warlock: INT + CHA
Vestige Warlock: CON + INT
Dark Pact Warlock: INT + CHA

Inspiring Warlord: STR + CHA
Tactical Warlord: STR + INT
Bravura Warlord: STR + CHA
Resourceful Warlord: STR + [INT and/or CHA]
Insightful Warlord: STR + [WIS or CHA]

Orb of Imposition Wizard: INT + WIS
Staff of Defense Wizard: CON + INT
Wand of Accuracy Wizard: DEX + INT
Orb of Deception Wizard: INT + CHA
Tome of Binding Wizard: CON + INT
Tome of Readiness Wizard: INT + [CON, WIS or CHA]