One big change that's noticeable in many countries in the northern hemisphere is the disruption of the (northern) polar jet stream. The previous effects of the jet stream include a relative stability of (cold) weather in winter. Due to climate change, the jet stream becomes increasingly unstable, leading to winters with a back-and-forth between warmer periods and frequent "cold snaps". It's the latter that people point to, when they say "See? Climate change isn't real". The former is what people refer to when they say "There's no snow anymore like there used to be".