Precision is important for pilots, so first, let's get your terminology straight regarding "instruments":
"Flight Instruments" are used for controlling the aircaft without any external references. i.e. attitude indicator, altimeter, airspeed indicator, directional gyro, VSI, Turn Coordinator, etc. These may also be depicted on an electronic flight display.
Communication Radios are used for communicating with ATC, especially in an IFR environment. They can include VHF, HF, or LMF transceivers, (HF and LMF are now rare) , and a transponders with altitude reporting csapability,or ADS-B equipment. Comm Radios are not technically considered to be "instruments", however.
Navigation Radios can include the VOR receiver, ADF receiver, DME, glideslope receiver, marker beacon receiver, INS, RNAV, GPS receiver, etc. INS and RNAV equipment is rare in light GA aircraft. The Nav Radios are also not considered to be "instruments", although some of their indicators fall under the category of "instrumentation".
So, now that you are informed about correct terminology, the navigation and communication equipment required depends upon the airspace you plan fly in, and the enroute and terminal navigation facilities you intend to use. All of this can be looked up in the regulations here: http://ecfr.gpoaccess.gov/cgi/t/text/text-idx?c=ecfr&rgn=div5&view=text&node=14:2.0.1.3.10&idno=14
The standard for a light aircraft is two Com radios, two VOR receivers (one with localizer and glideslope capability), a marker beacon recveiver, and a Mode C transponder. "Extras" in nav radios and instruments include DME, GPS, ADF, RMI, HSI and Radar Altimeter.
For what it's worth, I've flown legal IFR with basic flight instruments, a single com radio, a single VOR and not even a transponder.