My wrapping is instantly recognizable under the family Christmas tree. Back in the late 90s I bought a gigantic roll of green paper with red poinsettias printed on it from BigBoxClubStore. At the time, I had no idea how huge this roll actually was. I have wrapped almost every one* of my Christmas gifts in that paper ever since, and I am still only about two-thirds through it. It's become something of a family joke, where someone (usually my MIL) picks up one of the gifts and turns it over and over melodramatically asking, "Now who could this be from?"
I used to put curling ribbon and bows on my gifts, but a very expensive trip to the veterinarian put a stop to that. Kitties ingesting curling ribbon = very bad news.
I used to put tags on my gifts, but one year I forgot to do them and inadvertently "fixed" a problem that had been going on for a long time - my SIL and her husband are both notorious gift-feelers and will sneak under the tree and snag their gifts and molest them until they guess what is inside. My forgetting the tags meant they didn't know which gifts were theirs, and they are not so crass as to manhandle all the gifts, so they were forced to leave them all alone. Ever since, I have distributed my gifts by memory. Sometimes I do have to cop a quick feel of the wrapped gift to give my brain a nudge, but it's worked well.
One of my DH's sisters is an architect, and she wraps her gifts in unneeded blueprints from her firm. It's a very interesting medium and after she adds ribbon is quite pretty.
*One of my good friends works for an environmental firm that guides people in making good choices for the earth - even though she doesn't get on my case for wrapping gifts in paper, I just can't bring myself to do it when it comes to her gifts. Therefore, hers get wrapped in a dish towel and tied with a fabric ribbon. (So she has a bunch of dish towels that don't match; she doesn't care.)