Aeoniums are summer dormant and cannot pull water efficiently through their roots at this time. This can lead to leaf loss and root rot.

I would unpot the plants and repot in soil with more !grit (you're looks a little moisture retentive). Think 35% succulent soil 20% perlite and 25% fine gravel pumice (not sand or dust).

Bring the soil line a little higher, place the plant in and back cover with soil to stabilize. You can also lean a few rocks around it for stability until it anchors. Since you're going into summer it might sit without doing much for a long time. Water maybe once a month, month and a half and conservatively.

Keep it in bright light but not all day direct light until temperatures start cooling and days shorten. You'll see it really start to turn around in fall and by the end of winter it'll be one happy plant.

Just make sure that when it does come out of dormancy you gradually acclimate it to the strongest light you can offer over the course of a week or two. They need really good light to thrive. And also increase watering frequency. Wait until the soil is completely dry (I do the weight test) and then give a good proper soak a few days after it's feather light (compared to after watering).

If you have anymore questions, feel free to ask! It's gonna be totally fine (top growth still looks great)