Our current event set will support the following by Beta, but we'd love to know what you'd like to see in General Availability for Webhooks!
Current Event Support
-----------------------------------
sync_start
sync_end
status
transformation_run_start
transformation_run_succeeded
transformation_run_failed
dbt_run_start
dbt_run_succeeded
dbt_run_failed
Log events documentation:
https://fivetran.com/docs/logs#events