Whereby I set out to tell you what I'd watch

• Infinite Strats - Harem Mecha. First 3 episodes have set up a cast and episode 4 finally reveals a sort of conflict in the plot
• GOSICK - Action/Mystery/Romantic Comedy? The main thing about this series is that your everyman protagonist is actually fairly agile and observant, and that the female lead is Shinku meets Sherlock Holmes.
• Fractale - ??? - Episode 3 has cemented several parallelisms to The Matrix/
• Kore wa Zombie Desu ka? - Comedy. Extremely Genre Savvy. Given that all the characters are form-fitted to several tropes, this anime seems very promising.