The words of Hashivenu come from the last verses of Megilat Eikha (Lamentations 5:21), which we also sing when we return the Sefer Torah to the Ark: “Bring us back to You, HaShem, and we will return; renew our days as of old.” Here it is by Hanan Ben Ari.
Modeh Ani is the first thing we say every morning, as soon as we wake up: a short “thank you” to God for giving us back our soul. Here it is as a song, by Omer Adam, with subtitles.