Yes, the Phoenix or the Vivitar version of the 100mm f/3.5 lens would easily match the dragonfly shot you show. Slightly contrary to common opinion, a 100mm f/3.5 macro lens is quite easy to manufacture,and even old, cheap tele-macro lenses will produce excellent quality images on an APS-C Nikon. As was pointed out, your D60 will only autofocus with AF-S lenses, or comparable lenses from Sigma or Tamron; your D60 needs a lens with a built-in focus motor in the lens in order to autofocus. However, your D60 is one of the five "baby Nikons" (D40-D40x-D60-D3000-D5000) which will allow basically ANY Nikon-made macro lens to mount to the body, and to focus manually, and to shoot pictures.
Thus means you could buy an old "classic" macro like a 90mm Tamron macro, or a used Nikon 105mm f/4 Micro-Nikkor, or the classic Tokina 90mm, or any number of old Vivitar macro lenses made in the 1970s or 1980s,and the D60 will allow the lens to fit on and shoot. YOU will have to manually focus the lens. But there are zillions of F-mount macro lenses your D60 will accept. And don't be fooled by era or price--some of the old Vivitar macros of the late 1970's are great lenses. The D60 is a great camera for "alt. glass", and something like the Nikon M2 extension tube will give you about the right length of extension tube for a cost of around $10 or so used.
MOST macro work is done in manual focusing mode; a manual focusing macro lens is not really a negative thing. Manual focus macro lenses have long, smooth, wide-arc manual focusing action,and are actually easier to focus accurately than many autofocus macro designs. So, don't think you need to spend a fortune to get a good macro lens for a D60. Look into Micro-Nikkor 105mm f/4 lenses with the PN-1 extension tube for under $200 on eBay for example of a good macro that is affordable.
