Is it permissible to purchase shares in companies whose products we use, such as Sony, Microsoft, and Toyota, given that their accounts are in interest-based banks in non-Islamic countries? And is this considered participation in sin or not?

It is not permissible to buy shares in companies that deposit their money with usurious interest, whether these companies are in Islamic or non-Islamic countries. This is because buying shares in such a case is considered an engagement in riba (usury), whereas buying their products is merely dealing with someone who possesses haram (unlawful) money. There is a difference between the two matters.