Extremely important to me. I always check for it. A replay value needs to be there, but it really doesn't even need to be all that achievable honestly, it just needs to be there. In fact, a super high out of reach replay value will often get me to play more out of frustration of trying to reach it. I don't continue to play games that don't have some replay value set. It's a mental thing for me. When I play, I have goals in mind and the first goal is to hit the replay value, whatever it may be. If replays are turned off, I'll move on to something else. Same thing with the high score board for initials. When that is turned off, I have little interest in playing.

On a similar note, I do not like EB's (or points) instead of replays on location or in a home environment. I want to gauge how I am doing against a normal 3 ball game with earned EBs. I don't want pity EBs that are set point totals. Just give me the game on factory settings like how it was designed to be played and I am all good.