Summary: This paper concerns the overcompleteness of coherent frames for unimodular amenable groups. It is shown that for coherent frames associated with a localized vector a set of positive Beurling density can be removed yet still leave a frame. The obtained results extend various theorems of R. Balan et al. [J. Fourier Anal. Appl. 12, No. 3, 307–344 (2006; Zbl 1097.42022)] to frames with non-abelian index sets.