I've been through a lot of behavioral interviews at this point, and the Kroger KTD behavioral round had a distinct flavor worth calling out before you go in.
Kroger has a set of official "core values" that are pretty standard corporate: safety, integrity, respect, inclusion, diversity, and their own version of customer obsession. The behavioral questions map directly to these values, which honestly makes them more predictable than most.
Questions I was asked (paraphrasing): "Tell me about a time you had to make a decision with incomplete data." (integrity / judgment) "Describe a situation where you disagreed with a technical direction. How did you handle it?" (respect / communication) "Give me an example of how you've made a complex system or process more accessible to a non-technical stakeholder." (inclusion angle but also just communication) "Tell me about a time you prioritized safety or reliability over shipping speed." (safety value, very on-brand for a company running 2,800 stores) "Describe a time you influenced a decision you didn't control." (cross-functional work)
Notice a pattern: they want real-world, non-heroic stories. Not "I single-handedly saved the product." More like "I raised the concern, here's how I navigated the politics, here's the outcome."
What tripped me up once: I gave a story that was technically good but where I framed myself as the lone genius who fixed everything despite management. I could see the interviewer's body language change. Course-corrected mid-story to add more about how I involved the team. Worth noting: collaborative framing seems to matter a lot at a company that size.
Format: One dedicated behavioral round (45 min) with an eng manager or director. Also expect 5-10 behavioral minutes tacked onto the technical rounds.
Prep I'd recommend: Classic STAR format. Have 6-8 solid stories covering conflict, ambiguity, prioritization, technical trade-offs, and cross-team influence. Kroger is not going to ask you obscure brain teasers. They want to know you can function in a big org with many stakeholders.
Also: they do ask about your interest in Kroger specifically. Have a real answer. Something about retail tech scale, the intersection of physical and digital commerce, or supply chain complexity. If you say "I just want any job" (in spirit if not in words), that reads poorly.