There is increasing evidence that histone deacetylase (HDAC) inhibitors can (re)sensitize cancer cells for chemotherapeutics via "epigenetic priming". In this work, we describe the synthesis of a series of class I-selective HDAC inhibitors with 2-aminoanilides as zinc-binding groups. Several of the synthesized compounds revealed potent inhibition of the class I HDAC isoforms HDAC1, HDAC2, and/or HDAC3 and promising antiproliferative effects in the human ovarian cancer cell line A2780 and the human squamous carcinoma cell line Cal27. Selected compounds were investigated in a cellular model of platinum resistance. In particular, compound 2a revealed potent chemosensitizing properties and full reversal of cisplatin resistance in Cal27CisR cells. This effect is related to a synergistic increase in caspase 3/7 activation and induction of apoptosis. Thus, this work demonstrates that pan-HDAC inhibition or dual class I/class IIb inhibition is not required for full reversal of cisplatin resistance.