The phrase "a variety of basic" is correct and usable in written English.
It can be used when referring to different types or forms of something that is fundamental or essential.
Example: "In our research, we explored a variety of basic principles that govern the behavior of the system."
Alternatives: "a range of fundamental" or "several essential".
The group proposed a variety of basic research on the way planetary environments affect life or are affected by it.
A variety of basic biochemical techniques are useful for analyzing viral proteins and nucleic acids.
LecoS is able to compute a variety of basic and advanced landscape metrics in an automatized way.
These experiments are still in their preliminary stages, as researchers compete for time at these facilities and slowly accumulate data on a variety of basic compounds.
Pursuit of a sound fundamental understanding of catalysis in the 19th century, led to the application of these materials to a variety of basic chemicals.
The approach is exemplarily demonstrated and evaluated applying a variety of basic digital signal processing tasks ranging from basic filters to complete audio decoders or classical benchmark suits.
PST (1830 GMT) from Everett's Paine Field on a four-hour flight over Washington state to perform a variety of basic tests and systems checks before landing at Seattle's Boeing Field.
In recent years some United States scientists have warned that while money is still being spent to develop supercomputers, the country is falling behind in a variety of basic-science research fields.
Mali, Niger and Ivory Coast have reduced or removed taxes on a variety of imported basic foods as they try to contain rising food prices and prevent the kind of global protests seen five years ago.
Archaea use a variety of small basic proteins to package their DNA.
As a result, a variety of weakly basic substrates can be hydrogenated cleanly and in high yield, in the absence of a transition metal catalyst, in commercial-grade "bench" (undried) solvents.
