Abstract: Medium and high-spin states in Ce-133 were investigated using the Cd-116(Ne-22, 5n) reaction and the Gammasphere array. The level scheme was extended up to an excitation energy of similar to 22.8 MeV and spin 93/2 (h) over bar. Eleven bands of quadrupole transitions and two new dipole bands are identified. The connections to low-lying states of the previously known, high-spin triaxial bands were firmly established, thus fixing the excitation energy and, in many cases, the spin parity of the levels. Based on comparisons with cranked Nilsson-Strutinsky calculations and tilted axis cranking covariant density functional theory, it is shown that all observed bands are characterized by pronounced triaxiality. Competing multiquasiparticle configurations are found to contribute to a rich variety of collective phenomena in this nucleus.