Jacques Pépin suggested at [0] "basically you need three knives":
- a chopping knive, 9-12" depending on one's hand
- a utility knife for slicing, about 6"
- a paring knife, a cheaper ordinary one is fine
Of those, other than the chopping/chef's knife, I imagine that one could generally slice cheese with the utility knife (depending on the cheese, of course).
[0] https://youtu.be/nffGuGwCE3E?t=12