If you were a fan of the 1st set of OVAs then you'll find no problems with the 2nd (for the most part anyways).
Once again the" Tenchi magic" is put out on display in all its glory, but this time instead of fiery-hot action packed battles (of the space and sword kind), we focus on character development and getting to know some of our favorite Tenchi girls.
Sadly, this 2nd series does end on a cliffhanger and the 3rd series will only disappoint you... but I digress and encourage anyone who liked the 1st series to enjoy this one, because it may be the last time you enjoy Tenchi and the gang at its full potential.