If I am playing a ranger-type then it is a conventional bow. The Crossbow has a 50% stagger chance (75% if the Power Shot perk is unlocked) and the Enhanced Crossbow is identical but ignores 50% of armor. The Dawnguard Rune Axe does 10+n sun damage to undead where n is the number of undead killed with the axe since the last sunrise.
The Dawnguard War Axe does 10 points of additional damage to vampires.