As an important signal source, chaotic circuit can play key blocks of Codec in fields of weak signal detection and high speed security communication and non-linear control. First we review the chaotic circuit design methodology into three kinds of methods like blocks stickiness with 3-blocks, decreasing- or increasing-type, for root cause of period three implying chaos. Then two new chaotic circuits are designed and demonstrated in core features of 1L-1C plus 1 multiplier and 1 operational amplifier, and 2L-3C plus 1T-MOSFET. The phase diagrams and FFT spectrums of tested independent variables show that new circuits are chaotic with the greatest Lyapunov's Exponents more than zero. At last our conclusions throw up both the birth of Lee's circuits under logic steps and deep thinking of precision measurements based on chaos in voltage-or current-mode.