The core (beginning to hate that term) block of muscles are involve in most standing exercises. They have to be, less you tip over. Overhead presses (any overhead lift depends strongly on the core area), upright rows,cleans, bentover rows, etc are strongly engaged (even standing curls & chins) . Better known movements are squats and DL's (both in all forms). And any direct ab/oblique exercise.
If you have a well rounded workout, than any special attention to the core is really not needed. Unless your only doing benches, Scott curls and no leg work. The lower back/pelvic/hips/ab should to hit very well in regular workouts.
I might suggest a AB wheel as a good way to hit the lower ab wall as well as the upper ab wall at the same time. The Roman Chair is a great way to hit most of the core section. But most of the present designs are way far off from the original. Seen some gymnast and Olympic lifters , in the past, use it the right way.If anyone has used a RC, than you will know what I mean. Good Luck.
