Dark red is very hard to achieve. You require tinted primers and many coats of paint. Watch some online videos on Venetian Plaster techniques. And if you feel confident give it a try. It's look is rich and very forgiving for DIY.

Painting 12"-16" stripes of gloss & flat paint in the same color can be beautiful . This can be done vertically for more of a traditional look or horizontally for a more modern look. There are embossed wall papers of all designs made to be painted over. They have many designs out. There's always the sponge painting technique using 2 shades of near the same color or flat & gloss paint of the same color giving a stucco feel.

Note when painting dark colors ask for a dark tinted primer then you won't have to do so many coats.

By different look, do you mean a texture being applied to the walls ?

Yes

In your other post you said your furniture is dark stained and/or black. What color/material is your floor (and curtains)? Like mentioned before by others, deep red paint needs a primer. It gives a richer color (and better coverage) when painted on a dark grey. Youtube is full of decorative wall painting techniques and there are many special effect paints available (like suede), so find out what you want to experiment with. Could be as simple as painting glossy red with a brush on a matte red wall (but not covering it all) in the exact same colorcode. Or rubbing thinned bronze paint on a textured red wall. Good luck and enjoy!