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Classes:
Shadowcraft Mage -- Races of Stone, PrC, grants Cloak of Shadow (Su): attacks against a shadowcraft mage have a miss chance equal to 15% + 5% per class level (to a maximum of 40% at 5th level). (Concealment miss chance)
Swiftblade -- WoTC website, PrC, grants Blurred Alacrity (Ex): At 2nd level, while under the effect of a haste spell that you cast yourself, you gain concealment (20% miss chance). This miss chance increases by +10% at 3rd, 4th, and 5th level.
Umbral Disclple -- Magic of Incarnum, PrC, grants Embrace of Shadow at 3rd level, with 10% miss chance per point of essentia invested (Concealment miss chance)

Magic Items:
Cloak of Displacement, Greater -- 50% miss chance, 15 rounds/day, 50,000gp
Cloak of Displacement, Minor -- 20% miss chance, always active, 24,000gp
Smoking -- Lords of Darkness, Weapon Quality +1, Creates a Stinking Cloud in your square (20% miss chance, +extras)
Mithralmist Shirt -- MIC, +1 mithral shirt, 7/day concealment against attack for 1 minute (20% miss chance) , 3400gp
Gleaming -- SRD, Armor Quality +3, Grants Concealment (20% miss chance)


Spells:
Blink -- SRD, Wiz/Bard 3rd, 50% miss chance if opponent can't see Invis or attack ethereal creatures, but you also have 20% miss chance on attacks and spells.
Blink, Greater -- SpC, Wiz/Bard 5th, Same as Blink, but no 20% miss chance for you
Blur -- SRD, Wiz/Bard 2nd, 20% miss chance (concealment)
Displacement -- SRD, Wiz/Bard 3rd, 50% miss chance (NOT from concealment)
Mirror Image -- SRD, Wiz/Bard 2nd, Miss chance % depends on how many images (1d4 + 1 per 3 CL)
Mirror Image, Greater -- PHB2 (p120), Wiz/Bard 4th, Like Mirror Image, but an Immediate action and 1 additional image is created each round, up to max of 8 images total
Invisibility -- SRD, Wiz 3rd, Grants total concealment (50% miss chance) if they can not see Invisible creatures. See Greater Invisibility as well.
Mysterious Redirection -- Comp. Mage, Wiz 8th level, Attacks against you have 50% chance to strike adjacent target instead.
Mastery of the Sky -- Races of the Wild, Sky domain 8th level, Ranged attacks auto-miss, melee attacks 40%
Wings of Cover -- Races of the Dragon (p119), Sorc 2nd, Prevent single attack
Ghost Form -- SC p.103, Wiz 8th, Become Incorporeal (50% miss chance, read spell for full info)
Shadow Phase -- SC p.185, Wiz 3rd, Become part shadow (incorporeal), 50% miss chance from non-magical attacks, 20% from spells and magic weapons.
Veil of Shadow -- SC p.228, Wiz/Cleric/Ass 2nd, Concealment (20% miss chance)

Psionic Powers:
Concealing Amorpha -- SRD, Grants concealment (20% miss chance)
Concealing Amorpha, Greater -- SRD, Grants total concealment (50% miss chance)

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Stacking:
Per Rules Compendium p.34, miss chances from any source do not stack. In addition it states that Incorporeal is a miss chance and thus does not stack with Concealment.

See This Post for more an older discussion on stacking.

I believe it was said that the best armor is to be out of range.

wizard substitution level to gain abrupt jaunt. an immediate action teleport

contingent spell feat to create multiple spell contingencies. at low levels pay 50g to have a contingent benign transposition cast on you to swap you for the BSF or demension door to get out of range

deathwishjoe wrote:

I believe it was said that the best armor is to be out of range.
wizard substitution level to gain abrupt jaunt. an immediate action teleport

Lets keep the topic to just miss chance for now, not avoiding fights, etc.

There is always the ultimate in miss chance cheese. Wings of Cover, which give you total cover, thus 100% miss chance from one attack.

Alternatively, there is the 20-50% (Blurred Alacrity and Evasive Celerity) miss chance that the swiftblade gives as part of the class feature.

Smoking weapon enchantment gives partial cover (20% miss chance) as well as the effects of a stinking cloud upon your square, while allowing you free sight.

Nice work, but the real question is how many of these miss chances can we get to stack for the maximum miss chance on 1 character (ignore specific build problems)?

Now that's where it gets interesting. Its a shame concealment doesn't stack...