Images
Jooa11y has over 20 different tests for images.
Images without hyperlinks

Condition 1: Image containing alt text.
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Condition 2: Image missing alt text.

Condition 3: Image whose alt text contains a suspicious stop word.
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Condition 4: Image that is marked as decorative.
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Condition 5: Image that is marked as decorative using empty space (alt=" ").

Condition 6: Alt text that is too long.

Condition 7: Image whose alt text contains a file extension.

Condition 8: Image whose alt text contains a non descript word, or placeholder text.
Images with hyperlinks
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Condition 15: Hyperlinked image with null alt text, although contains surrounding link text below image.
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Condition 16: Hyperlinked image with null alt text, although contains surrounding link text above image.
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Condition 17: Hyperlinked image with missing alt text and contains surrounding link text.

Condition 18: Hyperlinked image that contains both alt text and link text.
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Learn more about the Canary Islands
Condition 19: Hyperlinked image containing an incorrect heading level. The error is appended after the hyperlink to prevent nesting a button inside hyperlink.
Condition 21: Hyperlinked image where anchor has aria-hidden="true" and tabindex="-1"
Condition 22: Hyperlinked image where anchor has aria-hidden="true".
Figures

Condition 23: Decorative images within a <figure> element.

Condition 24: Figure element has duplicate alt and caption text.