I am going to replay them as they are both in the Top 10 games of all time for me.
However I expect the controls to be clunky, as like the original Resident Evil games - Resi 2 was amazing but the controls are damn awful now.
The story in both Shenmue and Shenmue 2 are very good, but there is a lot of boring stuff in there too.
But at the time is was pretty open world, you can go to the arcade and play old games and do anything you like - You will get addicted to Lucky Hit in Shenmue 2.
If you never played before just try and ignore the 1st hour or so of the game, you spend it walking around basically meeting everyone and asking about a stupid black car on the day the snow turned to rain..
You will want to kill yourself at this point, but get 2+ hours in and the game does start becoming really enjoyable.