There is provided a method for preparing a zeolite other than ZSM-5 from a reaction mixture comprising a mixed organic directing agent which is a combination of (a) an organic nitrogen containing compound such as an amine or a quaternary ammonium compound and (b) an alcohol and/or diol. Particular zeolites synthesized by this method include ZSM-22 and ZSM-23. The use of an alcohol or a diol may inhibit the coformation of ZSM-5. Especially when used to prepare ZSM-23, this method enables the preparation of more catalytically active ZSM-23 of reduced crystallite size and also enables the use of lower crystallization temperatures. Particular mixed organic directing agents for the preparation of ZSM-23 are combinations of (a) pyrrolidine and (b) ethanol or ethylene glycol. Other factors which enhance the activity of ZSM-23 include the use of the following in the reaction mixtures for preparing ZSM-23: potassium ions; precipitated silica particles as sources of silica; and spray dried precipitated silica/alumina particles as sources of silica and alumina. The catalytic stability of alumina bound ZSM-23 catalysts is especially enhanced by steaming. Particular reactions which can be catalyzed by ZSM-23 made according to methods described herein include the dealkylation of ethylbenzene and the alkylation of benzene with ethylene.