The in my opinion most important problem with globalisation is that it is a true globalisation in parts only. Capital and coorporations can act more and more borderless, while political power, somewhat obviously, has remained at a national level. The only partial exception would be the EU, but even there the political cooperation is only limited and restricted to just a few countries, compared on a global scale.
This just invites a competition between countries of who has lower social and economic standards, where it's the easiest to exploit workers and nature and maximise profit. Of course aspects such as infrastructure or education and skills of the workforce are still hugely important, but economic globalisation has undeniably promoted social dumping, as well as tax havens, which a lot, lot bigger problems than most people normally realise.