In addition to what other have suggested, here are my favorite recent and semi-recent shows that are on Crunchyroll:

• Dan Da Dan - insanely chaotic fights involving aliens and yokai, and it has a really good romance plot mixed in as well
• Takopi’s Original Sin - I should warn you this one is kind of hard to watch, mostly because it’s really sad and maybe a little too real. Never seen an anime start with a suicide trigger warning before. It’s great though.
• Brave Bang Bravern! - Big gay robots. Hilarious story about some very close friends fighting off an alien invasion
• Keep Your Hands Off Eizouken! - Some high school girls team up to make short anime
• Skip and Loafer - A charming story about a really smart country girl getting used to the Tokyo life when she moves there for high school. Probably about 30% romance, 70% coming of age. Out of every anime I’ve seen I think this one might have the realest-feeling characters. I think season 2 is supposed to air in the semi-near future.
• The 100 Girlfriends Who Really Really Really Really REALLY Love You - The best and most haremest harem anime. There are a lot of things setting this one apart from its peers, but I think what sets it apart most is that Rentarou is a genuinely great guy. At the beginning of the anime you’ll think “Dang, those are some cute character designs. I want to date these girls!” and then by the end of Season 2 you’ll just wish you were dating Rentarou too. Don’t get me wrong though, it’s every bit as degenerate as it sounds. More, perhaps.