Uhh let's see
I usually build archangel's staff if I'm doing well in lane, or perhaps I'm landing against an AD threat, but if I'm landing against an AP caster I will usually go for Grail. Against mages like Ahri and Veigar, grail is a must buy. Morellos is a situational item but it works very well and I really like it.
For boots I would say
but
is a great buy as well because the CDR is great for Ori.
Liandrys is a terrible item on Ori, if you want a health item that has AP, go for rylais, more ap and the slow combined with your ult is great if you panic ult and your W is on CD.
My build is usually
but you can swap some items out for
if you really need to,
if you're getting dived on
if you really want that AA aspect of Ori, but I'd say using
is also a good choice, maybe even better than Grail. That's my standard build, varying against different team comps.
Max Q first, then W. In laning phase, use Q-W in quick succession for lots of good poke and throw in some AAs if you can. When going for combos, Ult-W in that order, if it hasn't killed the enemy already, the slow will ensure your team can get them as well as your W gives your allies a speed boost.
I run mpen Reds, but your hybrid pens are even better, armor yellows, mr glyphs and ap quints as my more offensive page, if I want to play an aggressive style. Of I'm going for a safer playstyle, I will go mpen Reds, health yellows, ap glyphs and ap quints which seems really weird, I know, but your E grants passive defense boots while the ball is on you, and if you're playing safe, that's most of the time (lol this logic). That's just me though.
Really gotta pay attention to the position of the ball, using E on yourself might end up making you ult yourself and hitting nothing, which, btw, has happened to me a lot of times before. QE for quick poke and return.