Which one is better, Canon ixus165 or iuxs220?

Both are very good.

. ixus165 has a 16-megapixel image sensor and 8x optical zoom, which is suitable for daily shooting and simple photography enthusiasts. The ixus220 is equipped with a 20-megapixel image sensor and 12x optical zoom, which is suitable for photography needs in more scenes. If you are looking for higher pixels and a larger zoom factor, the ixus220 may be more suitable for you. If you prefer easy operation and simple shooting, ixus165 may be more suitable.