Jelly, 9 bytes

³bṀỊµÐfḊY

Try it online!

Done alongside caird coinheringaahing in chat.

How it works

³bṀỊµÐfḊY    Full program.Ðf      Filter the implicitly generated range [1, input].µ        Starts a new monadic chain.³b           Convert the input to the base of the current number, as a list.Ṁ          Maximum.Ị         Insignificant. Checks if abs(Z) ≤ 1.Ḋ     Dequeue; Removes the first element of the list (to drop base 1).        Y    Join by newlines.