Your question will stimulate a strong response - some like the brand, others can not abide them.
First - Taurus is a Brazilian company. Several firearms companies either base in Brazil, or source parts from Brazil. Springfield sources their 1911 frames from Brazil.
Until recently, in the semi-auto line, Taurus was most known for their Beretta 92 et al clones. Beretta used to build some of their guns in Brazil, and when they left, they sold the machines and drawings to Taurus.
Some people maintain that the brand is substandard and shoddy. Others maintain that their quality is comparable to the 'name brands' such as Smith and Wesson and Colt. Others think their quality is good, especially considering their price-point, which is usually less than those big brands. Some of the tarnish on their reputation may stem from twenty years ago, when Taurus *did* make cheaper guns. Some people don't forget - other don't accept that things might have changed.
Taurus offers a lifetime (of firearm) warranty. Some people have complained that turn-around time on firearms they have sent in was excessive. Many others have had no reason to require service.
My experience has been good overall. I had one revolver which had a timing problem out-of-box. My dealer took it back and replaced it with another Taurus - that Taurus has performed without fault for several years. It's my favorite small-frame revolver. I also have had a number of semi-autos - all of them have performed well. One of them, a 24/7 compact auto, is a regular concealed carry gun.
You'll get many other opinions. Sorry I can't narrow things down any better.