Apart from the mainly-Chinese playlist in the sidebar (commentary here), below are some links to an eclectic selection of All-time Great Songs* on this blog. Besides the songs, the posts are worth reading too—Trust Me, I’m a Doctor.

• Fado das horas sung by a youthful Carminho
• Erbarme dich (see also Bach tag)
• You’re my thrill and other gems from Billie Holiday
• Ich bin der Welt abhanden gekommen and Der Abschied (see also Mahler tag)
• You must believe in spring
• Back to black
• When I am laid in earth
• Chet ballads, here and here
• A Swedish psalm
• Moon river, sung by Audrey Hepburn
• Two moving versions of Somewhere over the rainbow from Ariana Grande
• Eternal source of light divine
• The windmills of your mind
• Rameau‘s Tristes apprêts
• Naturträne 
• Ravel, Shéhérazade (see also Ravel tag)
• I say a little prayer
• Buxtehude, Klaglied
• let me tell you sung by the amazing Barbara Hannigan (see also here)

*Of course, varied as this selection is (à la McClary; see also here, and here), it isn’t so eclectic as to include Albanian funeral laments, Sardinian tenores, flamenco deep song,  Indian singing, Inuit throat-singing, Umm Kulthum, Aboriginal dream songs… (see also Voices of the world). But I can’t resist including

• The ballad of the dictator, sung and played by Nicolae Neacșu.

For a similarly diverse playlist of trumpeters, see here (indeed, trumpet has its own tag); and for some feminist lists, here (with bonus tracks including Sheridan’s Smith’s amazing cover of Anyone who had a heart) and here.