New Horizons, like many other spacecraft, used gravity assists from planets (Jupiter in its case) but the specific combo of assists available to Voyager will not in fact occur again until the year 2224 [0].
Sure, I mean we won't get to do a Grand Tour again anytime soon but we can and did send things either to planets or heliopause and beyond.
As a nearby comment mentions, Voyager were flybys so now that it's done and even if we could ROI may very well be lower than sending more focused orbiters (for planets and moons) or deep space crafts (for peristellar/interstellar)
We are probably doing even better than that. The Voyagers were flybys, which naturally limited the amount of time they could spend observing each planet up close. This is why we only know what one side of Triton looks like.
Voyager’s follow-ups have been missions like Galileo and Cassini, which stayed in orbit around Jupiter and Saturn respectively, allowing more detailed observations with better instruments. It looks like the next priority is Uranus:
https://en.m.wikipedia.org/wiki/Grand_Tour_program