Best games to play with kids are cooperative games: with small kids you can do all the job and let them just roll the dice or move figures and it is still great time (for all). Flash Point is great example of good coop to play with kids – I have played that with 3 and 4 year old. There is family variant and advanced variant if you want more challenge, you can also mix rules from both as you like.
Your goal is to rescue people (and few animals) trapped in burning house. Each turn more and more smoke (and eventually fire) appears on board, walls of the house are weaker after every explosion and sometimes people get killed (you need to find a way how to explain this to kids 😉 ).
Production quality is fantastic with some nice fire-fighters figures, great cards and double-sided board!