For initialisations and tear-down which applies to all test casses (e.g. server connection) it would be nice to have event handlers like OnStartTest /OnStopTest but at project and suite level.
A more recent discussion related to this request: https://community.smartbear.com/t5/TestComplete-Functional-Web/How-to-achieve-before-and-after-functionality-in-Test-Complete/td-p/145755