I recommend
Clannad (+ After Story), Kanon, Air and Angel Beats. All series have a very enjoyable story, nice characters, nice humor and especially sad emotional scenes. In all cases, romance plays a secondary role, but I still strongly recommend it.
I also recommend the films
Wolf Children, A Silent Voice, Your Name, The Light of a Firefly Forest and I want to eat your pancreas, in which the romance is more visible. Prepare napkins.
And finally
Your Lie in April, Romeo x Juliet and Nana. Your Lie in April is a great show with romantic elements that you will surely love when you like classical music. Romeo x Juliet is a classic story that we all know well, but in this version some things are altered. It's nice, strong and emotional. Nana is a very realistic story intended for women - it shows what they are going through in their lives (breakups, relationships, pregnancy, love, etc.) in a very good way. It also has a great soundtrack.
Currently I'm watching Kaguya-sama: Love is War, show with a very interesting story, nice characters, great dialogues and original ideas. It's basically a mix of Toradora and Death Note, which may sound impossible, but it really works. Check it out.
(edit: okay, I didn't notice that you are looking for anime from recent years, but never mind.
If you didn't seen them before, definitely watch them.)
Also, here's my anime list:
https://myanimelist.net/profile/brilliant_tom