Dredge:

in:
2x grafdiggers cage
3x ensanring bridge
3x surgical extraction

out:
2x grim lavamancer
4x price of progress
2x sulfuric vortex

Elves:

out:
4x price of progress
4x rift bolt
2x sulfuric vortex

in:
2x grafdiggers cage
3x ensanring bridge


Shardless BUG:




Lands:



Fast combo:

out:
3x grim lavamancer
3x searing blaze
2x sulfuric vortex

in:
2x mindbreak trap
3x surgical extraction
2x grafidggers cage

Delver variants:

out:
4x rift bolt
2x sulfuric vortex

in:
2: vexing susher


D&T / Vial Decks:

MVP : Price of Progress (vs Wasteland / Ports / Karakas), Eidolon (post-vial removal), Lavamancer (to remove Thalias), Ensnaring (stops their creatures)

Watch out for - Revoker / Needle naming Lavamancer, Thalia, Mom

out:
2x eidolon
4x goblin guide

in:
3x shattering spree
3x ensnaring bridge

Miracles :

in:
2x Vexing Sushers
3x shattering spree
2x surgical extraction

out:
3x searing blaze
4x price of progress

S&T / Reanimator:

in:
3x Ensnaring bridge
3x Surgical Extraction

out:
3x Searing Blaze
2x sulfuric vortex
1x grim lavamancer

Stoneblade decks:

in:
3x Shattering spree
3x Ensnaring bridge

out:
4x rift bolt
2x Lava Spike

Omnitell:

out:
4x price of progress

Reference articles:

http://www.starcitygames.com/article/29627_Burning-Grand-Prix-New-Jersey.html

http://www.gatheringmagic.com/building-sideboards-in-legacy/

http://www.starcitygames.com/article/27944_Burn-vs-Counters.html