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Are there any HELOCs or home equity loans that don't require tax returns?
Maybe, but I doubt it.
HELOC UW doesn't have the same strict rules that mortgage underwriting does, but odds are they will not underwrite on paystubs alone. Note that a Home Equity Loan is basically a second mortgage and does do the full monty.
They may be willing to UW on assets much like mortgages, but you'd have to find a specialized lender for this specifically for HELOCs. I'd find the lenders that did such mortgages and then see if they offer any of the products you want.
The only loans I've seen that do not require tax returns are hard money loans with higher interest rates (8.5% and up) and higher fees (for example $600 loan processing fee plus $795 admin fee plus appraisal fee plus 4 origination points.)