Well, LLMs are subset of machine learning, and machine learning is a subset of (really old by now) artificial intelligence field. So, LLMs do count as a applied use of AI.

Aside from ML, you have a lot of ways how to actually make an AI agent for Agent-based models, which is what you mostly use AI for, from GOAP, Behavior Trees or other perception, decision and reasoning algorithms, that could IMO be considered closer to "AIs" than LLMs are. Most of UAVs, robotics, game NPCs or even simple chat/crawl bots are agents by definition and do fall under the umbrella of AI. Even a simple if/then bot does.

Agent-based simulations are also used for biology, economics, social simulations or modeling in various other fields. That's also AI.

However, you're probably asking about AGIs, and nope, we can't do those yet as far as I know.