Well, I see that Marvin and Xtreemli posted their Acumen answers, so here's mine too:

1. Looks like the strigil Azuria once used on me. ;)

2. Groovy discus from Celtia?

3. That is a Gallic Letter, ie. an ancient condom.

4. The subject is "Driving lessons" and such driving can be found in any part of Italy.

5. Portrait of a very envious person, ie. anyone who couldn't answer this quiz as well as me.

6. It's my hearing aid... Extra point for WHAT?

7. Baton of the bandleader for Galicula's Goats, the reknown Roman Ball team from Capri; made of im-material.

8. Dried-up goat poo from Capri (and that is not Virgin Mary on it, no matter what the Pope says!)

9. Hunting... it's an unbreakable Boomerang. Ask Asenath if you don't believe me.

10. Chopsticks (offa fustis) from Orient.

11. Tiberius told me not to tell or he'll use it on me again!

12. Vehicle? There's no vehicle! It's the alien Akhenaten (see the elongated head!) hovering over the horses and scaring them!

13. From the City of Stumble-Upon-Avon?

14. It's a pyramid supported by priapuses, built for Cleo when she stayed in Rome.

15. Capri, Capri, and one more time: Capri!

16. First prototype of Aqua Fennica amphora?

17. Hanging Priapus of Semiramis, used as a vibrator. No batteries included. ;(

18. Ancient Sauna ladle, used for throwing water on the stove at the Aqua Fennica Sauna Challenge.

19. NO! He should be not named! Not in my lifetime! Do not even call him!

20. Sauna heating stones, used on top of the stove (see above).

BONUS. Man? Are you sure about that? That doesn't look like any man I know...

Yours,
Topi