Brit potato salad tends to be a bit simpler with ingredients than US kinds [:)] I use either roughly chunked old potatoes or halved baby new potatoes according to season, preferably with skin on. Then either a very basic dressing with good olive oil and a touch of cider vinegar or lemon juice and seasoning ( has to be sea salt ) and maybe a little mustard and/or honey to taste, depending on mood, plus some finely chopped onion ( red onion is good for this )and some chopped fresh parsley if I have it to hand or : mayonnaise ( never more than just enough to coat the potatoes, I dont like them drowned in the stuff )plus again either some finely chopped onion, or spring onion ( scallions) or chives, and sometimes I add fresh chopped mint when its in season. Just that. Really basic but if the ingredients are good quality and all freshly made ( and yes, do put the dressing etc on when the taters are still warm !) it tastes great. I couldnt bear to eat shop bought potato salad these days. Urgh, those nasty little near-raw cubes fizzing and fermenting in some weird chemical dressing [xx(]* shudders*