Dysregulated translation is a hallmark of cancer, and recent genome-wide studies in tumour cells have uncovered widespread translation of non-canonical reading frames that often initiate at non-AUG codons. If an upstream non-canonical start site is located within a frame with an annotated coding sequence (CDS), such translation events can lead to the production of proteoforms with altered N-termini (PANTs). Certain examples of PANTs from oncogenes (e.g. c-MYC) and tumour suppressors (e.g. PTEN) have been previously linked to cancer. We have performed a systematic computational analysis on recently identified non-AUG initiation-derived N-terminal extensions of cancer-associated proteins, and we discuss how these extended proteoforms may acquire new oncogenic properties. We identified a loss of stability for the N-terminally extended proteoforms of oncogenes TCF-4 and SOX2. Furthermore, we discovered likely functional short linear motifs within the N-terminal extensions of oncogenes and tumour suppressors (SOX2, SUFU, SFPQ, TOP1 and SPEN/SHARP) that could provide an explanation for previously described functionalities or interactions of the proteins. In all, we identify novel cases where PANTs likely show different localization, functions, partner binding or turnover rates compared to the annotated proteoforms. Therefore, we propose that alterations in the stringency of translation initiation, often seen under conditions of cellular stress, may result in reprogramming of translation to generate novel PANTs that influence cancer progression.