I think it is lantana too. They get as large as a shrub under the right conditions. I grow them as an annual in MN and they get about 2' in one season. gramma jan

The Poppy in the photo is definitely a perennial, probably an Orientale. If you want to transplant, be prepared to dig for a long taproot and transplant in moist soil quickly. Keep moist for a couple of weeks. The plant will sulk big time, but should recover. To help it you may want to cut the blooms/pods off so they don't take too much energy from the plant, and cut back some of the longer leaves. I take my chances at transplanting these and succeed about 7 out of 10 times. Well worth the effort to try. :O)

I also think the first one looks like Berberis. Give it a pat. Does it have very thin, sharp spiny thorns that try to take your arm off? Not sure on second one but yes, privet sounds a distinct possibility. Are the leaves more leathery than the beastly Berberis? The good thing about privet is that it is a friendly thing to remove.

Please can you tell us where this is growing geographically? Is is an indoor or outdoor plant? Is it aromatic? It could almost be etiolated thyme.