Any CD player, regardless of price, can have issues. You may be better off not spending too much, on a new player. Brands such as Denon, Yamaha, Marantz, and Rotel seem to make decent units for the money.
I`d be careful about spending too much on a CD player. Personally, I would not spend north of 2 grand for new player, because the cost of repair may equal the price of a lower level CDP.