Unfortunately there are very few brand new cars that do not have touchscreens, although it appears that the tide is turning somewhat on screens and Euro NCAP is looking at changing its testing guidelines from 2026 so that certain functions must be controlled via physical buttons. As for brand-new cars, certain Mazda models, basic Dacias and the entry-level Citroen C3 have partial or no touchscreen functionality, but as this is generally a feature applied to lower specification cars you are unlikely to find a new car without a touchscreen. We would suggest looking at a younger used version of cars such as the Kia Niro PHEV, Audi A3 e-tron or BMW 330e, which would offer the plug-in facility but do not have all their functions operated through a touchscreen.