The 243 is a fine caliber for smaller big game, provided the right bullet is used. Because of it's mild recoil and fine accuracy, it is a desirable rifle for smaller statured shooters.
For people who can handle the added recoil (minimal), and a longer action, I would suggest a 25-06, or one of the milder 6.5's for the added bullet weight and energy. These calibers are also very accurate.
C F