Knots of fixed genus with arbitrarily large volume
The result of Brittenham for genus 1 knots pointed out by Sam Nead was generalized to all genus in Theorem 8.2 of this paper:
Stoimenow, A., Realizing Alexander polynomials by hyperbolic links, Expo. Math. 28, No. 2, 133-178 (2010). ZBL1196.57009.
Here is a paper of Mark Brittenham that provides (free!) Seifert genus one knots of arbitrarily large hyperbolic volume:
https://arxiv.org/abs/math/9809143
His construction should generalize to all genera.