Where I can find a list of logic gates with non-inverted output?
Wikipedia's list of 7400-series ICs is probably what you're looking for.

Also, note that digital design usually works the other way around: You define the logic you want in some kind of notation (Karnaugh maps, state diagrams, Verilog/VHDL…), and then specify the logic gates you have, and then you (or some software) breaks down the logic you want into the elements you have.

For example, most logic is actually made or NOR and/or NAND gates, not from positive logic.