Aikawa Ayumu was revived as a zombie by the cute necromancer Eucliwood Hellscythe. After the zany, madcap adventures in the first season of Is This a Zombie? ended, Ayumu thought his life might finally get back to normal, or as normal as it can be for a zombie. However, destiny has other plans for him. Some guys just can't catch a break. 
(Source: FUNimation)

Two OVAs released with the 8th and 10th volumes of the original novel. They fall chronologically between the first and second seasons. 
Season 1, Episode 13: 
Haruna is given the task to hold a Spring Festival at the local shrine, in her own magical-Equipment-girl way, of course... Seraphim does not want to be a freeloader at Haruna's and Ayumu's place, so she starts cooking... And a concentration-game contest in the school's main assembly hall pushes Ayumu and Orito to their limits... (Source: AniDB) 
Season 2, Episode 0 part 1: 
Haruna wants to play more with Hellscythe at a swimming pool. 
Season 2, Episode 0 part 2: 
Hellscythe's birthday is near! Haruna prepares a birthday party for Hellscythe in her own magical-Equipment-girl-way. What kind of party could Haruna be holding? What kind of birthday presents will Ayumu and gang give to Hellscythe?

An unaired OVA episode of Kore wa Zombie Desu ka? of the Dead. It is the 11th episode and was bundled with the sixth volume of the manga. 

Life - or undeath? - isn't easy for Ayumu Aikawa. A seemingly normal high schooler, he is in fact a zombie who serves as a bodyguard to an introverted necromancer. But his already complicated existence becomes even more outlandish when he accidently steals the powers of a magical girl, transforming into one himself - complete with frilly dress and pink chainsaw!! How's a reanimated corpse supposed to keep his head on his shoulders with roommates like these girls around the house?
 (Source: Yen Press)

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