The increase of the LEP centre-of-mass energy allows the pair production of Z bosons. Their selection and the measurement of the cross section are discussed. Possible anomalous couplings of neutral gauge bosons are investigated with this channel and with the associated Zg production. Events with two or more hard photons are used to perform high-energy tests of QED. Some of these channels are studied in the framework of theories with large extra spatial dimensions. Previews from the current LEP run are also given.