There are many songs that I like and are fun to play and sing. People like to hear familiar things, even if they don't mind being exposed to new things. Most of the songs I do are about things I can relate to. Chances are if I like it, someone else will too. There are songs I wish I had written.
Good songs tend to come back around from time to time.
You can't be a good songwriter without studying other songwriters who came before you. Even the best of them do songs by others they like. Very few people can teach themselves to be something as complex as a musician or a songwriter. You don't just sit down with an instrument and learn to make music without ever listening to anything. It's like monkeys and typewriters.