Oldboy is the second in Park Chan-Wook's 'Vengeance Trilogy' - Sympathy for Mr. Vengeance, Oldboy and Sympathy for Lady Vengeance. However, these movies are connected only by the director, and their overall theme of revenge, and have no actual canonical story connections. Considering that what often makes sequels shoddy is that the original movie was basically complete, and the sequel was made only to cash in on a popular title (also, I think, the reason why many of the superior sequels are from movies series' based on comics which were made with an overarching story in mind), I don't think Oldboy belongs here. It's not a sequel.
My choices? X-Men 2, Spider-Man 2 maybe LotR (I tend to think of those movies as a cohesive whole rather than a trilogy), Terminator 2, and so on. If we're adding sequels that are equal to the original, add in Godfather 2, and maybe Spider-Man 3.
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