  The aim of this article is to establish the notion of bundle-type quasitoric
manifolds and provide two classification results on them: (1)
($\mathbb{C}P^2\sharp\mathbb{C}P^2$)-bundle type quasitoric manifolds are
weakly equivariantly homeomorphic if their cohomology rings are isomorphic, and
(2) quasitoric manifolds over $I^3$ are homeomorphic if their cohomology rings
are isomorphic. In the latter case, there are only four quasitoric manifolds up
to weakly equivariant homeomorphism which are not bundle-type.
