Hello Bert
The songs I have sung in pubs over the last month are:-

My Grandfather's Clock; Leaving of Liverpool; Country Life (I Like to Rise); Lamorna; Rio Grande; Lark in the Clear Air; April Morning; Row On; Sweet Thyme; Rosabelle; John Kanaka; Roll Alabama Roll; Water is Wide; Hanging on the Old Barbed Wire; Shawnee Town; Limehouse Reach; Saucy Sailor; Bright Fine Gold; Banana Boat Song; Shallow Brown; Fathom the Bowl; Grey Funnel Line; British Grenadiers; You Are My Sunshine; Over the Hills and Far Away; Johnson Girls; and, Paddy Lay Back.

Is that enough variety to convince you that anythings goes? (But not too many wrist slashers!)
"... give an ear to my song!"
Alan