See this note for the many procedures that fit various types of logistic (or logit) models. QLIM is generally not the first choice. For randomly sampled data with independent observations, PROC LOGISTIC is usually the best procedure to use. If you have complex sample survey data, then use PROC SURVEYLOGISTIC. If your interest in robust standard errors is due to having data that are correlated in clusters, then you can fit a logistic GEE (Generalized Estimating Equations) model using PROC GENMOD. See the examples in the documentation for those procedures.
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ANOVA, or Analysis Of Variance, is used to compare the averages or means of two or more populations to better understand how they differ. Watch this tutorial for more.