Well, from what we can see of Jesus after His resurrection, we know we will be able to:
Simply appear -- Christ was suddenly among them in the Upper Room despite the locked door.
Eat -- Christ dined with them.
Fly -- He ascended, so I'm sure we'll be able to do the same.
He could conceal His identity - the guys on the road to Emmaus didn't know they were talking to Christ until He revealed Himself.
He could walk through walls, but clearly had flesh, as Thomas physically touched His wounds.
We'll be able to go between earth and Heaven.
We'll be able to see Christ as He really is without dying.
We'll be shining with God's glory!
If we'll be like angels, then we might be able to be present without mortals knowing.
We'll have the full authority of Jesus. I believe whatever we say will happen in Jesus' name will come to pass. As mortals, we try to weild our authority, but sometimes it doesn't happen because we don't have full faith. As glorified Christians, I believe we WILL have that full faith and confidence and Christ will work through us.
We will be married to Christ. Therefore, we'll have one jealous Husband! If anyone comes against us, WATCH OUT!! The Son of the Living God will come to our rescue, I believe in PERSON!
Whom have I in heaven but You? And there is nothing on earth that I desire besides You. My flesh and my heart may fail, but God is the strength of my heart and my portion forever. ~~Psalm 73:25-26 (ESV)