"No Game No Life" was very good. It's another real life game series, similar to SAO or Log Horizon.
"DanMachi" is also very good. It's a harem style anime (every girl in existence loves the main character), but the story is great also.
"Gundam Build Fighters" was awesome. There's 2 separate seasons (the second one has Try and the end). If you like Gundam, you'll love these.
"Mahouka Koukou no Rettousei" was also epic. It's a magic powers high school setup, but it also involves the military and such.
"Shigatsu wa Kimi no Uso" was entertaining. It's a high school boy meets girl type of show that focuses on playing the Piano. And god damn does the music really further the story well.
"Shokugeki no Souma" is the current favorite of a lot of people. It's the story of a bunch of a kid that's a chef and attends a culinary school. There's lots of suggestion in there, but only in regards to eating food. Still a fun show.
"Aldnoah.Zero" is another gundam style show. Had one of the best 1st seasons ever, but the 2nd wasn't as strong. Overall, still a very good show, though.
"Haikuu!" is a story of a high school volley ball team, and it's very entertaining. Season 2 comes out in the fall.
Ok, that sums up some of the better recent series. Enjoy.