No, Danny Boy isn't on the DVD. The DVD was made after Pure, and before Odyssey, so she hadn't even recorded May it Be or Both Sides Now, even though she sang it on the DVD.
But as for Pokarekare Ana, it wouldn't be the first time an artist sang their most famous songs on every DVD they release. Josh Groban's last DVD, for example, had 2 songs from his 1st CD, and 2 from his 2nd, and the rest were his new songs, plus some extras.
Pokarekare Ana is definitely Hayley's classic song, so I'm sure she would include it, and maybe even Hine e Hine.
Here's my list - the ones I'd like her to sing, but also the ones I think she'd be likely to sing, going by the setlists I always see:
1. Pokearekare Ana
2. Never Saw Blue
3. Ave Maria (Caccini)
4. Prayer
5. Danny Boy
6. The Mummer's Dance
7. Songbird or I Know You By Heart, or both!
8. Wuthering Heights
9. Sonny
10. A duet, one with Jonathan Ansell or maybe Russell Watson
11. Hine e Hine
12. Abide with Me
13. Shenandoah
14. Scarborough Fair
15. Both Sides Now
However, I think if a new one ever does come out, it will come after one of her next albums. So, there'd be a lot of the new songs, but I'm sure she'd still include a few from her previous albums.
It's unlikely she'd sing any of her Japanese songs, but you never know, I guess. Maybe Nada Sousou.
Since she never sings Summer Rain or Let Me Lie in concert, she probably wouldn't on her DVD, either. It's really too bad she hasn't performed them more often.