Hello. As you rightly mentioned, there are lots of varieties of tiles available in the market today, including the wooden pattern ones. These designs are offered by almost all the leading tile companies. Well, the patterns/designs are usually on individual's preference, but a natural teak wood pattern would give a natural look as you requested. More than the designs of the tiles, the points that I would suggest to take care of before choosing a pattern is 1. It should not be too dark as it will make the room look smaller 2. It can have a decent amount of texture finish, but shouldn't be over board as it will be a hindrance to walk freely and also cleaning would be a pain. 3 The thickness of the tile, many good companies be of standard quality 4. Easy availability of the tile, in case you have to replace the broken tiles, they should be easily available. About matching the floor with your walls and ceiling, do not replicate what is on the floor (color/pattern), instead go for something lighter in shades (wallpapers or paints) for walls and for ceiling you can consider the wooden theme PVC panels, which are available in multiple colors.

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It can be done on cemented floor add long as it is levelled.

wooden tile only gives look of wooden flooring but real wooden flooring feels different on foot. so its personal choice of what you want to experience.