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The old JS Date API is far from perfect and I'm happy it being replaced, but part of the problem is various string-based formats and people being sloppy using them. Not to mention general complexity in time/date concept with timezones, summer time, leap seconds, etc.
For string format, just stick with ISO 8601. If you need to parse less-standard formats, use a robust library of your choise. The standard library should not try to support parsing zillion obscure formats. Outputting localized / human-readable format should be a responsibility of localization API anyway.
I also think that many libraries/APIs involving formatting things have some US centric design limitations, i.e. tendency to treat US formats as native and international support is often a bit after-thought. Especially with older stuff like the JS Date API.
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