we have a house system, but year group tutoring. We do have Head of Years though (plus head of Key Stages) who keep on top of academic stuff, the House teams deal with pastoral stuff.
As a parent, my main point of contact should be the tutor, the head of house; for subject specific things I go to the class teacher, or head of subject/department/Key Stage as appropriate.
IME the house system works - we have inter house competitions (sport, subject/department, attendance, behaviour) which all get added up at the end of the year for the main interhouse cup. Fortnightly house assemblies (that can be tough, as the 6th formers often feel patronised), uniform with house colours. My advice to my DC newly starting in Y7 was "if you get lost, look for either a teacher, a 6th former, or a girl with your house tie, and ask where to go avoid Y10 boys at all costs as they think it's funny to send you to the other side of school". It does give a sense of belonging I think - we're a massive school though, and without the house system, I think it cold be difficult.
Other things I think of offhand - house charities and fundraising, house reports in newsletters, the fact that any ex pupils meeting as adults ask first "what house were you in?" rather than "when were you there?".
Plus points of a house system for you, although it does need to be properly embedded, and need to mean something, not just "dividing into coloured groups for sports day". Can say as I'd like vertical tutor groups though.