Haste

Legit
Diamond Shovel - Efficiency IV
 * Clay

Diamond Pickaxe - Efficiency V (Haste II)
 * Prismarine
 * Prismarine Block
 * Prismarine Slab/Stairs
 * Prismarine Brick Slab/Stairs
 * Dark Prismarine Slab/Stairs

Not Legit
Diamond Axe - Efficiency V (Haste VII)
 * Barrel
 * Cartography Table
 * Fletching Table
 * Loom
 * Smithing Table
 * Trapped Chest

Diamond Pickaxe - Efficiency V (Haste IV)
 * Grindstone

Diamond Pickaxe - Efficiency V (Haste XI)
 * Blast Furnace
 * Smoker
 * Stonecutter

Diamond Pickaxe - Efficiency V (Haste XVIII)
 * Bell

Instant mining
With Haste and Efficiency, it is possible to mine some blocks instantly. Below are listed the Efficiency and Haste levels neccessary to instant-mine a block.