Only just watched the series. As it progressed, the Licence to Kill comparison got stronger and stronger in my mind, so I'm not surprised to see it come up here. I also think there's some overlap with Tomorrow Never Dies, with the spotless public villain and the mistress/lover who pays for betraying him (OK, that's quite generic Bond).
As many have pointed out already, Pine and Jed's mooniness was ridiculously OTT and bound to lead to trouble. I also didn't care for Hiddleston's huge smile/laugh as a nervous tic. And Laurie's repeated "No!" at the end seemed ... unimaginative. Like Don Lockwood's improvising romantic dialog with "I love you! I love you! I love you!"
I disagree about Craig, but even more so about Brosnan. I love Pierce Brosnan, but he's a very wooden actor. He's smooth, good-looking, and OK in fight scenes, but he has zero edge (more than Moore did, but that's about it). Hiddleston seems too slim, but he's grittier than Brosnan.