Dragons use the following shouts:
Fire Breath: Yol Toor Shul
Frost Breath: Fo Kra Diin
Drain Vitality: Gaan Lah Haas
As you can see they only use the most basic of the shouts, every level of dragon, should be able to alternate between frost and fire breath(With the exception of Frost Dragons and Dragons) I would improve them by adding them the following shouts.
Vanilla Dragons:
Dragons: Fire Breath
Frost Dragons: Frost Breath
Blood Dragons: Fire breath, Frost Breath and Become Ethereal
Elder Dragons: Fire Breath, Frost Breath, Become Ethereal and Whirlwind Sprint
Ancient Dragons: Fire Breath, Frost Breath, Become Ethereal, Whirlwind Sprint and Slow Time
Dawnguard Dragons:
Revered Dragons: Fire Breath, Frost Breath, Become Ethereal, Whirlwind Sprint, Slow Time, Drain Vitality and Dismay
Legendary Dragons: Fire Breath, Frost Breath, Become Ethereal, Whirlwind Sprint, Slow Time, Drain Vitality, Dismay and Storm Call
Dragonborn Dragons:
Serpentine Dragons: Fire Breath, Frost Breath, Become Ethereal, Whirlwind Sprint and Cyclone
Shouts mechanics:
Fire Breath: Same as in game
Frost Breath: Same as in game
Become Ethereal: Renders dragon invulnerable for 5-10 seconds and cancels the effects of dragonrend, [Cooldown 15 seconds]
Whirlwind Sprint: Gives them a dash of speed while flying, [Cooldown 10 seconds]
Slow Time: Makes everything ingame move 60-75% slower except themselves, [Cooldown 20 seconds]
Drain Vitality: Same as in game
Dismay: NPC allies flee for 15 seconds,and Magicka and Stamina consumption is increased by 35%(Revered) or 50%(Legendary Dragons) and damage taken increases by 25% (Revered) and 40% (Legendary) [Cooldown 30 seconds]
Storm Call: Same as when the player casts it (Can be countered by Clear Skies) [Cooldown 30 seconds]
My opinions:
As you can see this would greatly benefit dragons because as of now, dragons are pushovers and they are supposed to be the toughest foes we face, this would make them tougher, but not by making them damage sponges that dish out a lot of DPS.
This would also make them seem like the thu'um masters they are, and would add an extra layer of challenge that can be overcome quite easily if you are prepared for them.
Feel free to disagree, and voice your opinions