... I think the guys above are going a bit to old school with the recommendations. I'll stick to some more recent stuff and agree with the above were noted.Originally Posted by MFauli
Macross Frontier: Real Robots/Romance/Singing Top shelf animation its a 25th anniversary show for the Macross franchise assuming you've seen any of the previous shows the amount of "fanwank" in this show is off the charts. Even if you haven't the visuals are beyond compare especially if you get the Bluray rips from Thora. The music is also very very strong in this show were talking the top 5 music cd's sold by amazon japan are all Macross Frontier CD/singles and all 3 of the cd's have hit at least #3 in japan.
Spice and Wolf: Romance/Barter its really character driven so if you like characters like C.C. go for it. The females lead is awesome.
Gurren Lagann: Classic Super Robots show. This one has a extremely fast pace where they really only do boss fights. No fillers and its constantly being pushed forward. Its also kind of wacky though so don't expect much realism out of it.
Air Gear: comedy/slice of life/tournament/Sports Beware this one contains a lot of nudity if you end up with DVD rips if not you will have censorship crows a bit. Anyway this is a hard one to explain boil down the plot its about Rocket Powered Roller skates if you can get past that its a hilarious show where that is just what they use to battle basically doing extreme stunts and just fighting. Its one you have to watch.
Shigofumi: Its about a girl who delivers letters from the dead. Its also pretty warped so be ready.
Major: Sports(Baseball) This one is nothing like your average sports anime its less about the good guys always win and much more of the journey to a goal. Each season of this is distinctly very different and most have large time skips between them.
Black Lagoon: Basically follows a boat of people around who live in the Ghetto and do odd jobs like delivery or retrieval of black market goods.
Moyashimon Tales of Agriculture: (comedy, slice of life, supernatural) This is a really strange anime with a main character who can see Microbes with his bare eye's. Its strange and can get incredibly disgusting but its entertaining.
Kekkaishi: Very underrated show and its a longer one at 52 episodes. Its about two families guarding the same piece of land from evil entities both families have someone they believe is the true successor. Essentially supernatural battles mainly fought by priests who make barriers to destroy evil spirits who are trying to use the area they protect to power up.
Monster: Seriously just watch this one. Its the story of a doctor who saves someone he shouldn't have and then spends several years of his life on the run trying to fix his mistake. It doesn't really look like anything else and frankly the story is amazing.
Bokurano: The story of 15 Children who end up with a impossible task. This is a really twisted story of how each of them deals with the reality they have to die or everyone else will.
Shonen Onmyouji: from ANN "Abe no Masahiro is the grandson of the great omnyouji Abe no Semei, who passed his teachings on to his grandson. Masahiro lost his sixth sense and the ability to see spirits, but with Mokkun as his guide, he works to become his grandfather's successor." Basically your watching as Masahiro grows into the role of Onmyouji gaining the trust of the 12 gods that work for his grandfather and protecting the Realm from evil spirits. Its a more historical show set well into the past but you might find it interesting.
The Melancholy of Haruhi Suzumiya: This series has 2 distinct orders you can watch it in. I find the broadcast order more entertaining for the first watch through. Also note the first episode either way isn't like the rest of the series so you need to give this at least 2 episodes before you give up. A sequel should be coming out for it this year as well. Some people love this show and some hate it. As one of the people who found it incredibly entertaining I'm forced to recommend it however.
Well that is what I can come up with at the moment. I basically listed series from 2004-present as I felt that is a pretty fair period for the last few years.
Bonus recommendation: A older series (1999) that most people haven't seen but is awesome it The Legend of Black Heaven. If you haven't seen it I highly recommend tracking it down.
P.S. Romance like School Days Kinda.
Well you won't find a exact match but there are a few very twisted Harem/romance anime's that have come out post school days. These are not must watch animies for the most part just on topic for your second question.
H2O Footprints in the Sand: Expect mach truck sized plot holes and WTF moments but its a rather dark natured harem anime. (please note this is down here because its not a great anime like the other its just got some things in common with school days and is watchable if not messed up)
Shuffle: This one is a very light hearted Harem that has dark undertones. Its not like the "nice boat" ending in school days but its a Harem with a conclusion that I really liked.
Myself Yourself: Another twisted Harem anime this one is fairly close to how screwed up school days was so you might find yourself liking it.
Ef a tale of Memories/Melodies: Very twisted and artistic portrayals of screwed up people getting together and working their way through some serious problems.
Kanon(2006)/Clannad: These I'd consider must watch anime. They are a mix of Comedy and Drama and have significant highs and lows of both. They are both from the same studio and have some similarities but are overall very different and both are well worth watching. Note Kanon has 2 versions you want the 24 episode series from 2006 not the 13 or so episode OVA from 2004.