The ";" sign makes it print on the same line. Just use 2 seperate print commands.
cls
hide mouse
set display mode 800,600,32
rem set ink color and text size
ink rgb (100,000,200),1
set cursor 310,200
set text size 20
Print "ENTER PLAYER 1 NAME:"
set cursor 330,220
input player1name$
cls
set cursor 310,200
print "ENTER PLAYER 2 NAME:"
set cursor 330,220
input player2name$
wait 2000
cls
print "Player 1"
Print player1name$
print "Player 2"
player2name$
"All programmers are playwrites and all computers are lousy actors" -Anon