We currently handle VAT for services (in this case we pass the correct VAT to send to Stripe via their tax rate API [1]). We have not yet expanded it to physical goods as they are a bit trickier to manage from a tax perspective. However you make a really good point on exploring this. I'd be curious to hear more about your experience actually, what were the biggest pain points you faced when growing internationally?
[1] https://stripe.com/docs/api/tax_rates