I got my 4->5 year old some really simple board games. Some worked well ..some are collecting dust. Suggestions: Animal upon animal, my first castle panic, patchwork (able to play at 5), Sorry, Monopoly (with simpler rules), my first catan, and a few others.
For the little one, we just do toys. TV was banned in our house for little kids but we gave up a few months in (had a 1 year+ lockdown with 2 kids).