All of the various innocence projects solicit donations.
On the Esar Met case many people and organizations were contacted. Several who were paid responded.
Among those who were not paid, only one replied with a lengthy and helpful answer. If I were going to donate that's where I would give.
Lists of innocence projects in the U.S.
Most useful general links
Partial lists of exonerated people
All of these lists are incomplete. Malthe Thomsen, for example, was a Danish person working in NY when NYPD detectives used deceptive ruses to convince him he had assaulted children at a school where he worked. He was led to believe he had committed the crimes without remembering them. He spent close to a year in jail, but there is very little in the English language media about him, https://www.google.com/search?q=malthe+thomsen.
In Denmark he was headline news https://da.wikipedia.org/wiki/Malthe_Thomsen.
There is one excellent documentary which includes his case, False Confessions, by Good Company Pictures. It is not viewable nor rentable in the United States.
There is no comprehensive list of all exonerated people in the U.S. but the following lists mention a lot of people.
The United States is not the only country with wrongly imprisoned people.
"Over the years, fifteen men had been wrongly jailed for some of the murders of which Tkach was found guilty, one of whom committed suicide, and another was not released until March 2012"
List of Conviction Integrity Units, including 'Fake CIUs' which are sneaky organizations set up by many jurisdictions for publicity, but which don't actually help exonerate anybody