How to go about "record of teaching excellence" as part of an application for an academic position when you don't have teaching experience?
Include what teaching you have done as a TA. Space permitting, I would also include some details of what your teaching comprised, e.g. setting and marking coursework, small group tutoring, class tutorials etc. 

As the application calls for a record of teaching excellence, try to identify aspects of what teaching you have done that meets some reasonable definition of "excellence". Do you have evidence of positive student reviews? Any lecturer/tutor assessments?  

Do not include a statement of teaching philosophy if it is not called for.