Regarding the little ones, we have found compact puzzles and board games (ie, farkle) to be fun on rainy days or winter evenings when it gets dark sooner. Also, they are inexpensive so you can change them out as the kids grow older.
A puzzle roll up is a great idea to store partially completed puzzles.
https://www.walmart.com/ip/Roll-Up-S...ieces/10858614
As our kids went through their teen years, we moved to more thought provoking games like apples to apples, table topics, etc. It really amazed us how our kid's perspective had developed as they got older. You are around your kids 24x7 yet it sometimes it takes a different environment to get to know them in a whole new way :-)