Almost all songs on this kind (a soloist with a guitar) have a certain heartwarming appeal, ever since Nicole started it in 1982.
Iceland's 2011 entry was "Coming Home" by a band called Sjonni's Friends, which only formed because the writer of the song, Sjonni Brink, died days before he was meant to perform it in the Icelandic national selection. Sjonni's musician friends, believing the song should stay in the competition, formed a tribute band and took the song all the way to Eurovision (it finished 20th).
Loreen's speech to the audience after she found out she won ESC 2012.
Loreen: I want to say that I love you so much, thank you for believing in me, I wouldn't be able to do this without you guys. Thank you so very much. I love you for real, I do. This [the trophy] isn't just mine, this is ours. This is ours together. Really.
It should be noted that she absolutely adored the Russian grannies that year, who ended up in second place.
Malta's entry for 2013 was Gianluca Bezzina, a Hospital Hottie with an exceptionally sweet song called "Tomorrow", detailing the love story between IT Guy Jeremy and his Manic Pixie Dream Girl. The song (reminiscnet of Jason Mraz's "I'm Yours) placed 8th in the finals and was Malta's most commercially successful.
In 2014, during the 2nd Semifinal, Austria's Conchita Wurst was the favorite to get into the final. Nine qualifying countries later, Austria still hadn't been announced for the final so the audience started cheering "Austria" before breaking out in very loud cheer when she was finally called as the 10th and final entry to perform in the final. For context on why this was unique — she performs in a gorgeous Pimped-Out Dress, elaborate makeup, and a full beard. Her completely heartfelt "Thank you! Thank you so much!" right after her performance was also a major moment of heartwarming, and she cried tears of joy backstage, saying she wanted to go right back. She kept on crying with joy as one country after the other announced L'Autriche, douze points, all the way to victory.