I enjoyed this show's 2014 anime series, but it chickened out of the proper ending.
These two OVAs put that right.
Our, uh, hero is Kouta Shibaki. He's repellent. He chases skirt, takes porn to school and would probably have brain failure if not allowed to be a sleazebag. He lives with Rurumo (a witch) and we see him make a move on her, even though she looks about twelve. (She's actually 315 years old and the finale of ep.2 suggests that she's physically the same age as Kouta, but shorter. However Kouta's still scum.)
However there's another Kouta underneath. You know how some anime heroes are beautiful unsullied saints upon this earth, incapable of an ignoble deed? They're a bit boring. The bloke who wrote this manga (Wataru Watanabe) thought it would be better to create a hero who had inner goodness, despite being a massive perverted jerk. I can see that. You could call it dramatic tension. You see, Kouta actually loves and respects Rurumo. He wants to support her witch training and help her graduate, after sixty years of supernatural imprisonment. Unfortunately witches are kind of evil in this universe. When they first met, you see, Kouta received 666 wish tickets. Every time he spends them, Rurumo grants his wishes. When he uses the last one, she'll become a full-fledged witch and he'll die.
This fatal countdown was the whole point of the show. The 2014 anime didn't reach zero. This OVA does. Our obnoxious, punchable anti-hero deliberately spends that last ticket and meets his promised fate. He knew what he was doing. He knew that Rurumo was up against a ticking clock and that this was her last chance.
She had no idea about any of this. She takes it better than you'd think, actually, perhaps because she's an ancient being from a world of magic and the situation might, perhaps, be salvageable.
It's a strong two-parter, but it also improves the 2014 anime. It's funny (e.g. the ep.1 end credits of Rurumo trying to ride a bike). It has cool magical battling and a "holy shit" in ep.2. The latter is theoretically a massive coincidence, but seems unlikely to have been any such thing. (Was SPOILER deliberately testing them? She was certainly watching them, at the very least.) The witches' regime is scary underneath, but you'll have already smelled a rat even before we're told officially. Look at the official number of Kouta's soul stone. He's #15,049, which probably means he's the 15,049th person to have been used as a human sacrifice in a witch's magical training. Go to Earth. Befriend a human, then kill them. Hurrah, you've graduated! (Since Rurumo had been a full witch once before, does that mean she'd killed before? Instead of being her first victim, Kouta might merely be the first one she found out about.)
It's romantic. You want Kouta and Rurumo to work out together, even though this would seem absurd to someone who'd only met First Ten Minutes Kouta.
I enjoyed it. I'd even recommend it.