Oily skin tends to shiny with enlarged pores, and is prone to blackheads and blemishes. You might experience some tightness.
Sensitive skin tends to be thin, delicate with fine pores. It flushes easily, is prone to broken capillaries, is frequently allergic and can be rashy.

Caring for Oily/Sensitive Skin

Oily skin requires more cleansing and exfoliating than other skin types because the pores get clogged with oil and dead skin cell build-up.  However over cleansing can make matters worse by stripping the skin and irritating it. 
The key to sensitive skin is to avoid common skin irritants and gently cleanse and moisturise the skin without irritating or causing skin flare-ups.