Here are mine:
James Potter II and Fred Weasley II: James Sirius Potter, Fred George Weasley, and a third friend (to keep James and Fred in check) are the next generation of Gryffindor pranksters and troublemakers who are in the same year together, thereby being successors to the Marauders and the Weasley Twins and continuing their legacy. This also means that James II and Fred II live up to their namesakes pretty well.
Ted Lupin and Victoire Weasley: I'd like to think that Teddy went on to become an Auror like his godfather and late mother, and Victoire went on to become a curse-breaker like her father. The two eventually get married and have three kids together: Remus Edward Lupin, John Arthur Lupin, and Nymphadora Victoire Lupin. These three children inherit both the metamorphagus ability from their father and the veela charm from their mother.
Albus, Scorpius, and Rose: Forget about what the Cursed Child says, these three become the next golden trio. It is also the first friendship group between people from different Hogwarts houses. Scorpius and Rose eventually fall in love and get married (with Albus acting as Scorpius's best-man and becoming the godfather to Rose and Scorpius's first child).
Lily Luna Potter and Hugo Granger-Weasley: I wish we saw more of their freindship. We could also add a third friend (possibly a girl) in this group.