In NZ we have a similar rule to Australia's re: runway distances/spacing required.
In addition, the condition for landing is that a preceding departing aircraft has lifted off, and is past the point along the runway that the landing type could normally be expected to stop by.
So wheels off, and past a certain point, conditional landing clearance can be issued.
The spacing required between successive arrivals is fairly standard, but relaxes somewhat in the case of light aircraft, where it is perfectly legal to have two light aircraft (or more) occupying the runway at one during landing, provided there is enough space between them that there is no risk of collision. (This suggests fairly good judgement and awareness/perception of a/c performance is advisable.)
The applicable separation requirements/techniques in the case of an overshooting aircraft vs a departure ahead depends very much on weather, flight rules, and local procedures in each case, and although associated with runway separation standards, is a different subject.