#4 is one of the lavender blossomed summer-flowering meadow rues based on the lavender tint to the stems and leaves. If #1 is a peony, it's probably not a typical garden variety, but maybe a species plant. It doesn't have buds or blossoms, and this is the time of year peonies bloom, so it may well be something else. #5 isn't a lilac, but I'm not sure what it is. #8 - Try to be sure to get all the roots of when you rip it out, so wait until after a rain or use a tool that will rip out the roots which are shallow, fleshy, and fragile, so tend to leave pieces behind. I battle this plant at my mom's, but I don't know what it is.

It is Pericallis (also Cineraria). Unfortunately, it is not a perennial in many areas. It sure is beautiful, though! :)

its also called bishops weed .. it will cover dozens of square meters of bare ground ... in the most inhospitable soils and conditions ... which is some places is welcome ... but it is a hyper aggressive thug in a small garden ... especially if given any TLC.. tender loving care ... i agree.. get rid of it now ... ken

The sedum looks like only a flowering stem was collected - this portion by itself may perhaps not be able to generate roots, continue on as a complete plant