I still go through all coins before I dump them into a coin jar, which I will take once a year to Coinstar and get an Amazon gift card. (Coinstar charges a fee if you ask for cash back, but you’ll get full price for a gift card.) Last year I found a fairly trashed 1943 war penny, a silver Mercury dime (couldn’t believe that one), several Canadian coins (worthless. Coinstar won’t even take those.) and a 1961 silver Roosevelt dime. I always go through my pennies and save anything that is 1982 or prior, since they were the last real coppers.
1982 pennies are about 1/2&1/2. I’ve gone through enough and know strike quality well enough to be pretty good at picking them by sight, but if you want to be 100% sure you gotta separate them by weight (the zincs are about 1/2 gram lighter).