When it comes to Harry, it doesn't get easier. According to rumours, there seem to be some problems between Harry's friends and Meghan. Some of his friends were apparently not invited to the wedding. Which makes me guess that some of his friends won't be considered being a godparent either. Tom Inskip is one of these friends, even if I have seen that some people think Tom may become a godparent after all.
Now Harry's former nanny, Tiggy, is suggested as an option. No idea what kind of relationship Harry and Tiggy has nowadays. Are they good friends?
The Inskips were definitely at the wedding. I saw Skippy arrive. The initial reports after wedding said they were at the reception. It's only recently they said he's not and he hasn't been hanging out with Harry. While, it's a little hard to hang out all the time when one considers the fact that Skippy and his wife moved to DC months ago. Royal Musing did a piece on this.
Royal Musings: So where was Skippy?
Tom Bradby, who is actually friends with the Princes and invited to the Sussex wedding, has gone on record to say that his friends actually urged him to hurry up. So I'd say his friends are still contenders. It's a matter of who Harry wants to choose.
Tiggy lives in Wales, and it was reported that after Meghan and Harry completed their engagements in Cardiff during their engagement tour, Harry took her to meet Tiggy. I believe Tiggy also had a seat in the Quire at the wedding. So clearly, she is still quite important to him today.