In other words: light entertainment, some comedy, a romance that probably won’t go anywhere, and probably a new character every week. There’s nothing wrong with that so long as that’s what you’re in the mood for, and don’t make the mistake of expecting anything else.
Rin-ne (aka Kyoukai no Rinne, aka Rinne of the Boundary) has been exactly that, and a fair bit of fun to watch.
Rin-ne is a fairly comedic take on the concept of the Shinigami which has been a staple of Japanese popular culture for a while. Rinne Rokudo is a dirt poor half human, half spirit, Shinigami who also has to go to high school. Meanwhile Sakura Mamiya is at the same school and, due to the usual sort of Rumiko Takahashi hijinks, Sakura can see supernatural beings normally hidden from the mundane world.
Sakura is something of a Deadpan Snarker, and is often the best part of Rin-ne. She often gets a “I’m thinking about face palming now” expression (it even shows up in the OP) that’s usually hilarious in context. Speaking of the OP:
Overall Rin-ne is enjoyable enough to be amused by weekly, but not good enough to be worth investing in DVDs/BDs eventually.
I’ll finish up with the charming ED (which evolves slightly, other characters get slotted in later):
 The exception being her horror work, and some of her short stories. However most of those don’t get animated.
 “Death god” or “Death Spirit”
 That won’t go anywhere.