That's an interesting question; Kindred has supports that they like to have for general gameplay and others that make good comboes. For instance, both Soraka's and Morgana's ults pair amazingly with Kindred's, but they require precise timing and are useless if done wrong, not to mention neither of their regular kits work amazingly with Kindred's.

On the other hand you've got champions like Pyke who plays a really strong lane with Kindred and can work with or without you in lane as an aggressive playmaker that needs to be focused down, but Pykes ult actually clashes with Kindred's unless the Pyke can get that timing exactly right and the Kindred player fully trusts the Pyke.

It honestly depends the most on your own personal playstyle and if you know your support. Most things can work, but I recommend checking the matchup section near the top of the guide for details.