Let's talk about a Shyvanna rework idea. Make her feel more like what a half dragon should be. Read.

I've gotta say is a great character concept that translates very little of the identity of fighting as a half dragon in game.

Long story short dragon's and half dragon's [at least in other games and story's] alike really don't prefer to go up and punch people in the face over and over as their favored form of fighting. :/

Let's look at each piece of her kit individually and see what we can do to make them more exciting.

Looking at her passive first-> Dragonborn Shyvana gains bonus Armor and Magic Resistance. These bonuses are doubled while Shyvana is in Dragon Form.

This is about as white bread as it gets. Bonus stats.... Yay how exciting. Yawn This is a part of her kit which you never really get to fully embrace and at least from my experience I forget about 90% of the time. It's pretty much invisible power that you don't ever fully appreciate. I think you could just remove the passive completely translate and balance it into base stats or tack it completely onto her ultimate for the duration in dragon form.

In place of this I would suggest something to do with flight and or fire both of which are core to a dragon/half dragon's idenity. Right now they're tied to her ultimate and what we get after the initial flight is a champion with a bigger hit box that crawls around on the ground leaves AOE damage and punches people in the face. I don't see any reason for a half dragon to not be able to fly. The mobility in her kit right now is pretty dam linear.

Passive-> Dragon's Blood. Some of you guys might hate me for thinking of this but Riot loves the 3 auto attack system and I think it would leave some of her auto attacking identity in tact. Every 3 auto attacks breathes fire onto her enemy and channels the power of the dragons blood in her veins granting her access to bonus movement speed for a 1.5- 2 second duration and inflicting a tbd amount of magic damage. [Ballpark Figure] I do however think having a combo spell/auto attack system comparable to but not identical to system might serve just as well for utilizing the effect. For instance right now is able to proc mark's with all of his basic abilities. might be better served by having that passive after using ultimate give her access to bonus stats such as ability power for dragon fire to pack a bigger punch. Tenacity perhaps in tbd values? [Dragon's of any variety are pretty dam tenacious ; and hit like a truck)

Something rare in league of Legends is the ability for an auto attack user to be able to weave in auto attacks and spell-casts in a meaningful interactive way. Right now the best examples I feel are and

Shyv's Q/ Twin Bite/ Come on guys it's basically a different color of master yi's passive. :/ Shyvana strikes twice on her next attack, dealing {{ f2 }} and 0.8/0.85/0.9/0.95/1 physical damage on the first and second hits respectively. While Twin Bite is on cooldown, basic attacks reduce the remaining cooldown duration by 0. 5 seconds. Dragon Form: Twin Bite cleaves all units in front Shyvana. Twin Bite's second hit damage is equal to 40/55/70/85/100% of Shyvana's attack damage.

Cost No Cost Cooldown 9/8/7/6/5 seconds Range 650/ Can we add fire VFX to it? A fire breath of some sort in limited AOE made into a skillshot. Hell I'd even be willing to borrow the idea of Yasuo's Q mechanic for this one. In the sense that this becomes a skillshot that applies on hit effects treated as a basic attack for the purpose of damage reduction. I'm not saying it has to be a complete copy but it could certainly use some inspiration. Say charge 2 Q's the is an AOE effect fire spell which as stated earlier would apply on hit effects. Made distinguishable from and of course. Perhaps just use the line skillshot currently placed on her E and make it a bit bigger. I'd perhaps even suggest a slow comparable to Olaf's Q.

Burnout/ It's a walking sunfire cape that moves faster now..... ZZZ. Shyvana deals 20/32/45/57/70 (+0.2Bonus AD) (+0.1AP) magic damage per second to nearby enemies and gains a bonus 30/35/40/45/50% movement speed that decays over 3 seconds. While Burnout is active, basic attacks deal @Effect1Amount0. 25@ (+@CharBonusPhysical0. 25@) (+@CharAbilityPower2*. 25@) magic damage to nearby enemies and extend its duration by 1 second. Dragon Form: Burnout scorches the earth, continuing to damage enemies that stand on it. Burnout deals +20% damage to monsters. Burnout has a maximum duration of 7 seconds.

Cost No Cost Cooldown 12 seconds Range 325/

Edit. Need to go to bed. I would appreciate commentary though. I'll be sure to finish this tomorrow.