Firemen have long used tough leather gloves and I have seen a few EMTs wearing tough over-gloves, looked like poly knit work gloves, over the thinner rubber ones.

Gloves and glasses are common but offer only limited protection. I've seen an EMT pretty much hosed with blood from a punctured artery. It has always amazed me how blood spreads out and covers everything. How slippery it is and then how sticky and tenacious it gets.