I need asistance, how calculated OP Amplifier Resistors R1, R3, R4 & R5 for following:
Vout(ATMEGA16 ADC or MCP3204)= 0 - 5V
PT1000 (R2) Min Resistance= 822 Ohm (-20C) and Max. Resistance=1758 Ohm (+200C).
Vcc= +10 V
Vref= +5.0V
R1 = ????
R3 = ????
R4 = ????
R5 = ????
IC1 = TLC271CP (TLC271CP, AD621, AD620, LM358, LM324, TL071, TL072 this IC's have in CROATIA.)

See Attached schematic
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Hi. Your circuit is ALMOST correct. You don't really need the R3 to 5V. I used this type of circuit in a real product design, but I cannot share the exact details. You don't need a bridge, unless you need to tweak out any resistive offsets.

First, use the 5V reference to drive the PRT divider, or your signal will have noise.
Next, choose the best op amp you can in terms of input offset error and noise. If you are using a 12-bit ADC, this shouldn't be too hard.
Next, get rid of the zener on the output. It's another noise/load source. You're better off with a 5V single-supply (analog only) op amp (if you have one).
Then, adjust the gain resistors to give you the maximum output signal at the highest temp.
This should get you in the right ballpark.
Mike