He wished he would have met her

Solution 1:

Would have instead of had in a unreal conditional/subjunctive is found in informal spoken American English and in printed or digital sources close to it.

Did Albert Einstein really say he wished he would have “studied the Talmud?” — Quora question.

In numerous talks with his wife, the subject of school kept coming up, and many times he found himself mentioning that he wished he would have gone into medicine. — Beacon Health System (IN).

Jack listened to the message, only to find it was his credit card company letting him know of suspicious charges. He wished he would have answered. But how was he supposed to know that was a call he should have answered? — A Better Credit Fraud Alert Experience, Neuster.com

While one grammar source condemns this periphrastic usage as a error, I think it’s more a question of register: acceptable in most informal speech and writing, but not in more formal registers. I suspect the usage arose in analogy to should have, as in this example, and could have.