One example that the article gave is how Ghanan farmers couldn't risk to expand or specialize their crops because of the risk of drought. That feels like a need that could viably be met with sensible insurance.
One form of insurance I've always been a fan of in the US, at least, is mandatory car insurance. Considering that the cost of a collision can be extraordinarily high for all parties involved, but because most people don't crash, amortizing that risk out among drivers enables more people to get vehicles and transportation without freak accidents putting people into financial distress.