It can be refreshing to experience Scripture in physical forms that are different than the traditional black, small-font, leather-bound book. There's nothing wrong with this format, but as its intention is to fit a lot into a small package, there are limitations to it. It doesn't lend itself well to note-making. Also, if you spent a lot on a Bible, you don't want to mess it up with ink that bleeds through those thin pages too much in certain places, or comments too full to allow space for future comments.
Here are three ways I've been trying to bring Scripture out of the traditional bound book so that I can have different kinds of interactions with the text.
As simple as it sounds, there is real benefit to reading Scripture aloud. I now do this with every book in preparation to preach from it. Until you give it a voice, you might not pause to consider many of the sounds and emotions involved. "When Jesus made this statement, did he speak quickly or slowly? Was he happy, angry, or disinterested?" When you try to give a voice to the words, it forces you to put yourself more into the passage.
As you are reading out loud, it helps you to notice refrains. You'll more likely remember a similar phrase from an earlier passage when you are reading large chunks aloud in a single setting.
One of the best aspects of reading aloud is that you cannot skip over anything. If you commit to verbalizing every word, you cannot stick only to the familiar or favorite parts. All receive at least some of your attention.
Of course, audio Bibles can be useful for this also, if you can avoid letting yourself tune them out with other thoughts. I've found audio Bibles to be especially useful in studying Proverbs. Where I rapidly jump from verse to verse, it is refreshing to have to listen and wait for a narrator to let you progress to the next bit of wisdom. One great way to get the Bible out of its binding is to return it into a spoken word format, as much of it was originally given.