Hydrangea bushes can be pruned now. I cut the dead flower heads back to the first pair of strong plump buds closest to the old flower head. Weak, straggly stems are taken out at the base, and I also remove completely a couple of very old gnarled woody stems each year. Lacecap varieties are pruned more lightly, cutting back to the second pair of leaves below the old flower heads. You can use some of the pruned pieces for hardwood cuttings. If you want to change the colour of your Hydrangea, you can start to add aluminium sulphate to the soil around those you wish to have blue flowers, or lime if you want pink flowers. I have never done this.
If I had roses or deciduous fruit trees, I would prune them this month. Citrus trees can also have old wood removed now. Fuchsia can be pruned, cutting back by about half. Young plants should only be pruned lightly.
Trees can be shaped at this time. Some large shrubs - such as Camellia, Photinia and Viburnum - lend themselves to being formed into small trees by removing lower branches and thinning and shaping the canopy. This gives space below for planting smaller perennials and groundcovers. Sasanqua camellias can be hard pruned once their flowers finish if they have become too tall - they will bounce back.
I still think it is best not to prune very cold-sensitive plants yet, as they prefer to be done in mid-August or even September in some cases, and will be more prone to frost-damage if cut back too soon. Also, don't prune spring-flowering deciduous shrubs such as Deutzia and Weigela, as you will be cutting off the flowering wood!
I cut back some of my strappy-leafed plants around this time. I remove Kniphofia foliage right at ground level once flowering is over. Weavers of natural fibres value these leaves highly for making baskets! I also cut back Liriope foliage to the ground if it is shabby. Daylilies that haven't already had their foliage removed can also be done now, Fresh growth will soon appear.