If you are looking for finger picking acoustic that people will like, try baby I'm gonna leave you by led Zeppelin. I don't know if you would actually consider that acoustic, but give it a try. Also, If that isn't what you are looking for, try some classic Bossa songs. Don't do any westernized songs either. Try Blue Bossa and The Girl from Ipanema. They are some classic Brazilian Bossa acoustic songs. When you play them you use your fingers, but I'm too tired to give you a full lesson on Bossa guitar. I hope I helped you out!
you're being too specific, try to dumb it down for us TS
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Ok try some dispatch. If you want some catchy fun songs. If you want finger picking then do james taylor.