The PlayStation branch mismanaged the Vita completely, and their 1st party offerings are often too cinematic or talky for their own good. (Specifically I remember wishing narrators in both Puppeteer and LBP3 would just shut up and let me play at times.) I wish their quality control was stricter for 3rd party. Also, much like the Vita, they simply don't advertise their non-tentpole games enough. The PSN storefront is a mess on all platforms, and OS updates are infrequent and rarely add anything of real utility. Also, they're guilty of gouging consumers a bit with online play gated behind PS+ and those damned Vita memory cards.
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Oh, yeah, and they sold their fucking mascot to Activision. There is no clear 'face' of the PlayStation, at least outside Japan.