We introduce some definitions of uniruledness for affine varieties and use these ideas to show symplectic invariance of various algebraic invariants of affine varieties. For instance we show that if A and B are symplectomorphic smooth affine varieties, then any compactification of A by a projective variety is uniruled if and only if any such compactification of B is uniruled. If A is acylic of dimension 2, then we show that B has the same log Kodaira dimension as A. If A has dimension 3, has log Kodaira dimension 2, and satisfies some other conditions, then B cannot be of log general type.