Many drama course applications are processed by UCAS, but for some drama schools you have to apply direct. Funding can vary as well – not all drama school courses are funded with student loans, so it is important to research carefully. Download more information here: drama and theatre studies university advice sheet.
Most music degrees at university are processed by UCAS, but for performing courses at music colleges and conservatoires you usually apply through CUKAS (the Guildhall has its own, separate, application process), for which the deadline is 1 October. CUKAS information is on the main UCAS site.