I am by no means an authority on the subject, but I have heard that after the initial solo form practice there are...
Chi Gong: Breathing techniques
Tui Shou: Pushing Hands,
Shan shou : ( unsure...blocking?...maybe someone else can supply this ) ,
Chin Na : (immobilization techniques )
and Ta Lu: a combination of the three :Tui Shou,Shan Shou and Chin Na.
The weapons techniques(Ping Chi)I have heard of are...
Tao Fa: Sabre (single and double)usually learned as the first weapon...derived originally from the machette.
Chiang Fa: Spear
Kun Fa: Staff
Also Tieh ch'ih ( two metallic pick-like weapons used with both hands)called Sai.
I have also heard of the walking stick form.
The final weapon to learn I believe is the
Chien: Sword ...originally executed as a sword and dagger form with the sword in the right hand and the dagger in the left. Many have eliminated the dagger from the modern form.
I cannot say which families these originate from or which styles employ these various aspects, or whether or not all are still practiced or not at all.
I hope this encourages you in the 'martial' area... There certainly is much to learn in way of sparring and weapons.
One must first have the basis of form preceding Sparring and Weapons, otherwise there is no basis to work from as Audi explained.
Pushing hands and sparring are merely ways to practice the techniques you have already mastered in the solo form and extending them to include an opponents energy.This means you have already mastered your own balance, energy movement etc.
Weapons is an extension of similar principles stemming from the form, but then one must be capable of sending his energy into the weapon(beyond the body) .
For weapons the usual order starts from shorter to longer weapons and from single to double weapons.
Taijiquan is so vast and complex that one could easily dedicate his life learning all the intricacies of this art.
P.S. I have also seen some pretty wicked multiple attacker techniques...Picture this...A master holding one guy down with a wrist lock in one hand, holding another down in a different wrist/thumb pressure point with the other hand and holding yet another guy down, twisted up in a mangled mess, with some kind of knee bracing technique with his legs... A SIMULTANEOUS three man neutralization technique using Chin Na! Taijiquan!
[This message has been edited by psalchemist (edited 09-19-2003).]