If your wildlife garden includes an area of longer grass and flowers, especially if it's in the sun and bordered by shrubs, you should find speckled wood moving in. I believe they defend their particular patch of grassland, so that means they're around for a long period, and you get interesting displays as they deter outsiders.

You won't nowadays attract the large numbers of butterflies that I remember from my childhood, more just the odd one or two here and there.

It's worth getting more interested in bumblebees - once you start looking, there are quite a few different types, and they are still relatively abundant. They'll come to the same sort of nectar-full easy to get at flowers that you're providing for your butterflies.

Wat you will get unfortunately depends on what is around you. If you're surrounded by a lot of small hard-landscaped, highly-chemicalled gardens you'll get fewer things than if you are close to an area of rough ground and all your neighbours are organic.