1. The universal genetic code.  All cells on Earth,  from our white blood cells, to simple bacteria, to cells in the leaves  of trees, are capable of reading any piece of DNA from any life form on  Earth.  This is very strong evidence for a common ancestor from which  all life descended.
2. The fossil record.  The fossil record shows that the  simplest fossils will be found in the oldest rocks, and it can also  show a smooth and gradual transition from one form of life to another.
3. Genetic commonalities.  Human beings have approximately 96% of genes in common with chimpanzees, about 90% of genes in common with cats (
source), 80% with cows (
source), 75% with mice (
source),  and so on.  This does not prove that we evolved from chimpanzees or  cats, though, only that we shared a common ancestor in the past.  And  the amount of difference between our genomes corresponds to how long ago  our genetic lines diverged.
4. Common traits in embryos.  Humans, dogs, snakes,  fish, monkeys, eels (and many more life forms) are all considered  "chordates" because we belong to the phylum 
Chordata.  One of  the features of this phylum is that, as embryos, all these life forms  have gill slits, tails, and specific anatomical structures involving the  spine.  For humans (and other non-fish) the gill slits reform into the  bones of the ear and jaw at a later stage in development.  But,  initially, all chordate embryos strongly resemble each other. 
  In fact, pig embryos are often dissected in biology classes because  of how similar they look to human embryos.  These common characteristics  could only be possible if all members of the phylum 
Chordata descended from a common ancestor.
5. Bacterial resistance to antibiotics.  Bacteria  colonies can only build up a resistance to antibiotics through  evolution.  It is important to note that in every colony of bacteria,  there are a tiny few individuals which are naturally resistant to  certain antibiotics.  This is because of the random nature of mutations.
  When an antibiotic is applied, the initial innoculation will kill  most bacteria, leaving behind only those few cells which happen to have  the mutations necessary to resist the antibiotics.  In subsequent  generations, the resistant bacteria reproduce, forming a new colony  where every member is resistant to the antibiotic.  This is natural  selection in action.  The antibiotic is "selecting" for organisms which  are resistant, and killing any that are not.
Top 10 Recent Signs Evolution is Real - Toptenz.net
101 Reasons Why Evolution is True | ideonexus.com