Welcome to my second build! First you dont like, so i hope you like this much more!
Vladimir, the Crimson Reaper build is divided into two parts. First is about AP nuker, that second is Vlad, the Crimson Tank.

I dont understand this doubled builds, so be patient please.

There is a temple hidden in the mountains between Noxus and the Tempest Flats, where the secrets of an ancient and terrifying sorcery are kept. The area surrounding the temple is littered with the exsanguinated corpses of those who have mistakenly wandered too close. These served only to pique the curiosity of Vladimir, when - in his youth - he trekked through these mountains during his flight from Noxus. A day earlier, the teenaged Vladimir had brutally murdered two boys his age, for no better reason than to enjoy the intoxicating scarlet bloom that surged forth. He realized immediately that he would never be able to suppress his murderous desires, and if he remained in Noxus, his foul deeds were sure to catch up with him. Without hesitation, he abandoned the city-state, and journeyed south.

The trail of bodies led him to a crumbling stone temple. Inside he found an aging monk who appraised him with eyes of pure crimson. Vladimir surprised the monk by returning the wicked gaze with zeal. Recognizing the boy's sinister craving, the monk taught Vladimir how to manipulate and control the fluid of life, often practicing on passing travelers. When it came time for Vladimir to learn the final lesson, the monk warned that failure would result in death. Vladimir did not fail, but success bore a grisly surprise. During the ritual, every drop of the monk's blood was drawn from his body and fused with Vladimir's, imbuing him with his master's magical essence, and that of every hemomancer before him. Left alone and suddenly without purpose, Vladimir resolved to return to Noxus, demanding enrollment in the League to prove the supremacy of his craft. When the Noxian High Command observed the gruesome fates which befell the palace guards, they elected to avail themselves of Vladimir's unsavory talents.

''That which runs through you will run you through.''
-Vladimir

As AP Vlad, i chose Ghost and Ignite.

Ghost, because you can combinate it with Sanguine Pool to become faster
Ignite, because its great killing spell and lower targets healing effects

As Vlad-Tank, i chose Ghost and Cleanse
Ghost, because you can combinate it with Sanguine Pool to become faster
Cleance, because its great escaping spell

CAN ALSO TAKE:
FLASH-also good escaping spell
CLAIRVOYANCE-good to investigate to explore grass
TELEPORT-you died? dont worry, you can back to lane immediately
FORTIFY-can take with Vlad-Tank

DONT TAKE! NEVER!
SMITE-you are not jungler
CLARITY-you dont need mana
REVIVE-no! never!
HEAL-you want block your Q ability? take it!

Hmmm, what say about team work?

Use Sanguine Pool to slow enemies
Use Hemoplague into a crowd of enemies (can farm enemy creeps, but long cooldown)
Stack Tides of Blood to increase effect of Transfusion

AP Vlad
You are pure AP, so you need 1) Mejai's with combination in 2) Rabadon's Deathcap
3)You can also take Rylai's Crystal Scepter to slow enemies, but i like lizard buff much more
4)Warmogg to increase you HP and with your passive, you increase your AP too!
5)Abyssal Scepter to decrease magic resistance of enemies, increase yours and 70 AP
6) And last, Hextech Gunblade, for 20% Spell Vamp, AP, AD (for pushing turrets) and item passive

Vlad-Tank
Im trying build a good tank with enough armor, magic resistance and back-to-the-life effect.
1) Mercury's Treads to increase you magic resistance if enemies have lot of CC's or Ninja Tabi with strong melees
2) Spirit Visage is not only for Mundos. With stacked Tides of Blood (4x) you would have a great Transfusion effect!
3)+4) Warmogg+Force of Nature- HP regeneration increased, HP increased, movement speed increased, magic resistance increased. GREAT ITEMS! I LOVE THEM!
5)Guardian Angel is good into big battles. It gaves you armor, magic resistance and return to life each 5 minutes!
And finally 6) Zhonya's Hourglass! 70 armor and 100 AP + back-to-the-life effect! But you must activate it!

Thank you guys for having endured to the end. My english is not good and many phrases was transleted in Google translator. But i belive i wrote all what i want and you rate and comment! GL AND HF BROS!