Pharmaceutical companies are ringing in the new year by raising the price of hundreds of drugs, with Allergan PLC setting the pace with increases of nearly 10% on more than two dozen products, according to a new analysis.

Many companies’ increases are relatively modest this year, amid growing public and political pressure on the industry over prices. Yet a few are particularly high, including on some generics, the cheaper alternative to branded accounting for nine out of 10 prescriptions filled in the U.S. Overall, price increases, including recently restored price increases from Pfizer Inc. PFE, -0.48% , continue to exceed inflation.