All of these calibration "requirements" depend on what standards you are being held to.
The ISO 9000 series, including AS9100 and such, has the simple requirement:
"Where necessary to ensure valid results, measuring equipment shall be calibrated or verified, or both, at specified intervals, or prior to use, against measurement standards traceable to international or national measurement standards"
Nothing about reliable, nothing about 17025. Just a traceable calibration. I know that according to the VIM that means an accredited calibration with uncertainties, but the real world just requires that you are able to show traceability.
Thus, those little certificates that come with equipment may be adequate to use. ISO 9001 doesn't require much except the traceability statement.
In the ISO 10012, 17025, 13485, ANSI Z540 , etc. worlds then the calibration requirements get much stronger. Accredited calibrations with uncertainties, reports with required information, stuff like that. But most people do not work in those worlds.
Also, Howste nailed it in stating that replacing your tools with new ones is bad mojo: what if the tool has gone out of tolerance and you just hand it off to someone to take home. You would never know you had an OOT condition. That's the same as never having it calibrated in the first place!!!
It is mandatory to calibrate / verify all calibrated items when they are put into service and when they are taken out of service.