What's a man called who follows everything his wife says or wishes?

Consider:

• Uxorious: having or showing a great or excessive fondness for one’s wife
• Henpecked: henpecked husbands
• Whipped/ pussywhipped (vulgar slang): every man who is not a complete pussy-whipped sap must hope he succeeds
• Under the thumb: The poor guy; he squirms under the thumb of a domineering wife ¹

You could also call him an overly doting husband. Such husbands are often also said to have been cowed down by their wives.

I would say the English version is henpecked husband. If the wife is cheating and harassing her hubby and he likes it there is sexual fetish called cuckold or cuck for short. I believe you can say someone is cuck if he is devoid, strip of his manhood.

You could use the word doormat, although it is not specific to husbands. If the context does not provide the link, you would need to say wife's doormat.

Obsolete, but 'jerry-sneak' was an early 19th century word. OED: 'jerry-sneak n. a mean sneaking fellow, a hen-pecked husband.'

They give 1820, but it's also used by William Holland in his diary of 1800, commenting on the trial of Jane Austen's aunt, Mrs Leigh-Perrot. She had been accused of shoplifting: 'She was accused of stealing lace out of a shop in Bath, is a person of considerable fortune and has a poor Jerry Sneak of a husband who adheres to her through all difficulties.'

Not sure what else Rev. Holland expected Mr. Leigh-Perrot to do - cheer rapturously as his wife was sentenced to be transported, perhaps.