After analyzing multiple search results, here are some of the best face exfoliators for different skin types, along with their product details, positive and negative aspects, and ingredients:

1. Tatcha The Rice Polish Foaming Enzyme Powder: This gentle physical exfoliator contains soft Japanese rice bran that transforms into a milky lather when mixed with water. It is suitable for all skin types, including sensitive skin, and leaves the skin feeling soft and smooth. However, it is a bit expensive compared to other exfoliators.

2. Paulas Choice Skin Perfecting 2% BHA Liquid Exfoliant: This chemical exfoliator contains salicylic acid that gently dissolves dead skin cells and unclogs pores without causing irritation. It is fragrance-free and non-comedogenic, making it suitable for even the most sensitive skin types. However, it may cause dryness or flakiness if used too frequently.

3. Naturium The Smoother Glycolic Acid Exfoliating Body Wash: This body wash contains glycolic acid that exfoliates the skin and improves its texture. It is suitable for all skin types and leaves the skin feeling soft and smooth. However, it may cause irritation or dryness if used too frequently.

4. Zen Out of Ten Face Scrub: This gentle exfoliator for sensitive skin contains jojoba beads and bamboo powder that unclog pores and remove dead skin cells, revealing a brighter, smoother, and even complexion. It is free of synthetics, harsh abrasives, microbeads, alcohol, and overly-harsh acids. However, it may not be suitable for those with oily skin.

5. Drunk Elephant T.L.C. Sukari Babyfacial: This cult classic chemical exfoliator contains a blend of AHAs and BHAs that improve skin texture and tone. It is suitable for all skin types, including sensitive skin, and leaves the skin feeling soft and smooth. However, it is a bit expensive compared to other exfoliators.

6. La Roche-Posay Ultra-Fine Scrub for Sensitive Skin: This physical exfoliator contains ultra-fine pumice particles that gently remove dead skin cells and unclog pores. It is suitable for sensitive skin and leaves the skin feeling soft and smooth. However, it may not be suitable for those with oily skin.

When choosing an exfoliator, it is important to consider the ingredients and the type of exfoliator that suits your skin type. Physical exfoliators use beads or particles to manually remove dead skin cells, while chemical exfoliators use acids to dissolve them. Some ingredients to look for in exfoliators include AHAs, BHAs, glycolic acid, lactic acid, and fruit enzymes. It is also important to use exfoliators in moderation, as over-exfoliation can cause dryness, irritation, or sensitivity.