Both of the schematics you show are the same circuit, using different ICs. It's a perfectly good oscillator, but you may need to reduce the value of R2 if your oscillator won't start. You will also need to add a trimmer capacitor so you can adjust the frequency to make your clock run on time.
For the first circuit, note that you must use a 74HCU04, not a 74HC04.
For the second circuit, note that a CD4060 is only guaranteed to work at 1.5MHz at 5V, so with a 4MHz crystal you would want to use a 74HC4060.