Before we get to the best songs with the word 'anthem' or 'hymn' in the title, I have brief explanations for you about what these two terms mean.
'A religious song sung by a choir with organ music'. Or: A song that is 'often sung on a special occasion' and 'has special importance for a particular group of people'. An example: Just before the start of major sporting events (soccer, athletics, tennis and so on), the national anthems of the athletes or their teams participating in a sports competition are played.
By definition, a hymn is a 'song of praise, especially to God'.
1. Anthem - Leonard Cohen
2. Hymn - Moby
3. Party Rock Anthem - LMFAO feat. Lauren Bennett & Goonrock
4. Anthem - Moby
5. Anthem Part Two - blink-182 (Live In Chicago)
6. Hymn - Ultravox
7. Hymn - Barclay James Harvest
8. The Anthem - Good Charlotte
9. Hymn For The Weekend - Coldplay
10. A HYMN - IDLES
11. Anthem - N-Joi
12. Anthem - Greta Van Fleet
 Cambridge Dictionary. (2023). ANTHEM | English meaning - Cambridge Dictionary. https://dictionary.cambridge.org/dictionary/english/anthem
 Cambridge Dictionary. (2023). HYMN | English meaning - Cambridge Dictionary. https://dictionary.cambridge.org/dictionary/english/hymn