There are several essential oils that can be irritating or sensitizing to some people with sensitive skin. These include:

1. Peppermint: This essential oil can be very refreshing and invigorating, but it can also be irritating to the skin and mucous membranes.

2. Lemon: Lemon essential oil is often used in skin care products due to its astringent and toning properties, but it can also be irritating to sensitive skin.

3. Clove: Clove essential oil is a strong irritant and can be sensitizing to some people.

4. Cinnamon: Cinnamon essential oil is very potent and can cause irritation and sensitivity in some people.

5. Eucalyptus: Eucalyptus essential oil is often used to help clear respiratory congestion, but it can be irritating to sensitive skin.

It is always a good idea to do a patch test before using any new essential oil, especially if you have sensitive skin. This involves applying a small amount of the essential oil to a small patch of skin and observing the area for any reactions or irritation. If you experience any redness, itching, or other symptoms, it is best to avoid using the essential oil.