I watched several anime because of my internet downtime. Already have in my portable HD somewhere so i didnt need to stream it.
I will start with decent one and end will bad one.
Finished Soukyuu no Fafner : Dead Agressor Exodus.
So, I have soft spot for 1st series because it was hyped because of character design from Gundam SEED and awesome OP from Angela (her choir-like voice just UMPH!). Additionally this one was made from Xebec studio, which was kinda infamous for mediocre ecchi like series (Kanokon, To Love Ru etc). If i want to say the short synopsis, it is about human fighting an unknown alien like enemy that have ridiculous power while human remained powerless. There are several concept that is hard to explain without reading a wiki or something, but lets say it is the usual "only teenager can become pilot and defend our country" concept in various other anime.
If I want to say a good thing about the anime (aside from OP), it is beautiful background and mecha fight which is kinda like full 3D CGI combined with watercolour like environment. Because the story usually involved unknown enemy, there are no spot for "the real antagonist" in this series. Instead, it filled with political drama about sacrifice another country's human in order have greater success against these alien life form. Battle scenes are awesome, although sometimes it a bit confusing since the mecha a bit similar to each other.
This anime I think required you to watch the 1st season at least. I think because it relied so much on characters from 1st season (this anime was back in 2004!), even myself have problem to keep up on who / which character are them. But if you want to give a try, watch 1st part and 2nd of exodus (i didnt realized it was 2 part, i straight watched 26 episodes)
Alternative : NGE, TTGL, Darling in the Franx, Bokurano etc (i think you get the point of teenager driving mecha). As for politic, this remind me so much for Gundam Seed (both season) as well as Full Metal Panic.
Running out of time, i will write short review and edit it later.
Rakudai Kishi no Cavalry : Typical OP-ish character male in school with fighting tournament exam. It have annoying Tsundere main girl, but thankfully romance is not the main part of the series.
She and Her Cat : the 4 episodes of Makoto Shinkai short ova. It tell a life story from cat's perspective and the owner. Short heartwarming anime.
Sekko Boys : Idol group anime by a form of 4 famous sculpture. It wasnt funny nor fun for, kinda annoying. I dont recommend it .
SUPER DUPER EDITED:
Rakudai Kishi no Cavalry
This series started with a typical harem style where our MC brought into school and somehow ended up with our main Tsundere girl for whole season. Unlike usually wussy MC, this one is kinda on strong side, but not exactly super OP like typical OP harem MC do. He basically a powerful & skilled fighter but have terrible setback whenever he used his power (kinda like overdrive). Hence he considered as "worst" type of fighter which is name of this anime.
The story flow from one episode to another episode mostly by tournament style. Our MC and the girl have a promise where they will try to win all fights and meet in the final (I forgot the detail, but something as prove of their rivalry? romance?). As usual, you will have normal "bad guys" trying to stop them in standard "monster of the week" fashion. However, the anime get slightly more serious as it tried for focus on each of the opponent's back story and reason for their encounter, one of the reason why anime feel so good.
Despite a good overall anime, this series could be a turn off for anyone who disliked harem, tsundere girl or typical "battle school" format that plagued the anime industry atm. I wouldnt say the fighting scene as that good, but i think it is decent story package.
Alternative : Oh boys, there are simply too many similar anime to list down here. I will just suggest based on MAL recommendation that I already watched : Mahouka, Seiretsukai, Kaze no Stigma, Infinite Stratos, Machine-Doll, Shinmai Maou (for full name, just google them)
She and Her Cat
Short anime thus short review. This is alternative version of Makoto Shinka's OVA that stretched to 7 minute x 4 episodes. It basically telling the life of a cat watching the female owner from a little kitten to becoming old age. Mostly it about the owner which came from everyday life of trying to survive living alone, small flashback during high school, and small reunion with her friend & mother. Every episodes filled with narrative told by the cat about his think about the female owner. It quite short & heart warming anime.
Alternative : Not many anime I can recall especially from "1st cat perspective"
Sekko Boys
Again, another short anime. I know already the premise of this anime, which is about Idol group of famous stone sculpture. Im expecting a weird kind of comedy considering how absurd the setup it. Throughout the series, i keep saying to myself "none of this is real, just keep thinking that sculpture really have persona, can move around and talking like normal human do". However, I bored most of the episodes as the joke is kinda limited and dry. Will this anime become better with real person? Probably not, there is some issue with direction of anime, especially the comedy is hit & miss.
Alternative : Ugh, there are too many male idol anime that Im not fan off (only good one is Free, but it is swim club by KyoAni).