We present a new method for photometering objects in galaxy clusters . We introduce a mode-filtering technique for removing spatially variable backgrounds , improving both detection and photometric accuracy ( roughly halving the scatter in the red sequence compared to previous catalogs of the same clusters ) . This method is based on robustly determining the distribution of background pixel values and should provide comparable improvement in photometric analysis of any crowded fields . We produce new multiwavelength catalogs for the 25 CLASH cluster fields in all 16 bandpasses from the UV through the near IR , as well as rest-frame magnitudes . A comparison with spectroscopic values from the literature finds a { \sim } 30 \% decrease in the redshift deviation from previously released CLASH photometry . This improvement in redshift precision , in combination with a detection scheme designed to maximize purity , yields a substantial upgrade in cluster member identification over the previous CLASH galaxy catalog . We construct luminosity functions for each cluster , reliably reaching depths of at least 4.5 mag below M ^ { * } in every case , and deeper still in several clusters . We measure M ^ { * } , \alpha , and their redshift evolution , assuming the cluster populations are coeval , and find little to no evolution of \alpha , -0.9 \lesssim \langle \alpha \rangle \lesssim - 0.8 , and M ^ { * } values consistent with passive evolution . We present a catalog of galaxy photometry , photometric and spectroscopic redshifts , and rest-frame photometry for the full fields of view of all 25 CLASH clusters . Not only will our new photometric catalogs enable new studies of the properties of CLASH clusters , but mode-filtering techniques , such as those presented here , should greatly enhance the data quality of future photometric surveys of crowded fields .