It is true some elements are too heavy to have been created by the Sun's fusion process. These heavier elements would have been created by other processes like various types of cosmic explosions.

Mineral creation is an ongoing process on the earth. So mineral creation is happening today. One example would be volcanic vents at the sea floor creating metal sulfide minerals like ZnS - sphalerite and PbS Galena.

Earth processes are constantly reworking existing rocks and minerals.

Copper Porphyry deposits have a igneous intrusion and the fluids from the intrusion flow into surrounding rock dissolving and redepositing minerals, creating a super-gene enrichment zone. At the deposit in Tsuemb Africa, a secondary super-gene enrichment zone was created by faults carrying surface water downward into the deposit.

With time, certain processes on Earth (magmatic, metamorphic, metasomatic, hydrothermal, you name it) preferentially move certain elements relative to others. This causes redistribution of elements in space, enriching and depleting certain elements in various areas. Elements that were previously present only in trace amounts and did not form minerals of their own may be concentrated so that they do.

This is a time dependent process, hence the name "mineral evolution". This is a nice figure that sums things up:

You can read more about it in Hazen's website (from which I took the above figure): http://hazen.carnegiescience.edu/research/mineral-evolution

Be careful though when searching for "mineral evolution" online - you usually get more results of pseudoscientific and creationist websites rather than actual science.