Land trust: A private, nonprofit organization that, as all or part of its mission, actively works to conserve land by undertaking or assisting in land or conservation easement acquisition, or by its stewardship of such land or easements; or an agreement whereby one party (the trustee) agrees to hold ownership of a piece of real property for the benefit of another party (the beneficiary).
Offshore trust: Strictly speaking, an offshore trust is a trust which is resident in any jurisdiction other than that in which the settlor is resident. However, the term is more commonly used to describe a trust in one of the jurisdictions known as offshore financial centers or, colloquially, as tax havens. Offshore trusts are usually conceptually similar to onshore trusts in common law countries, but usually with legislative modifications to make them more commercially attractive by abolishing or modifying certain common law restrictions. By extension, "onshore trust" has come to mean any trust resident in a high-tax jurisdiction.
Personal injury trust: A personal injury trust is any form of trust where funds are held by trustees for the benefit of a person who has suffered an injury and funded exclusively by funds derived from payments made in consequence of that injury.
Private and public trusts: A private trust has one or more particular individuals as its beneficiary. By contrast, a public trust (also called a charitable trust) has some charitable end as its beneficiary. To qualify as a charitable trust, the trust must have as its object certain purposes such as alleviating poverty, providing education, carrying out some religious purpose, etc. The permissible objects are generally set out in legislation, but objects not explicitly set out may also be an object of a charitable trust, by analogy. Charitable trusts are entitled to special treatment under the law of trusts and also the law of taxation.
Protective trust: Here the terminology is different between the UK and the USA:
In the UK, a protective trust is a life interest that terminates upon the happening of a specified event; such as the bankruptcy of the beneficiary, or any attempt by an individual to dispose of their interest. They have become comparatively rare.
In the US, a 'protective trust' is a type of trust that was devised for use in estate planning. (In another jurisdiction this might be thought of as one type of asset protection trust.) Often a person, A, wishes to leave property to another person B. A, however, fears that the property might be claimed by creditors before A dies, and that therefore B would receive none of it. A could establish a trust with B as the beneficiary, but then A would not be entitled to use of the property before they died. Protective trusts were developed as a solution to this situation. A would establish a trust with both A and B as beneficiaries, with the trustee instructed to allow A use of the property until they died, and thereafter to allow its use to B. The property is then safe from being claimed by A's creditors, at least so long as the debt was entered into after the trust's establishment. This use of trusts is similar to life estates and remainders, and is frequently used as an alternative to them.
Purpose trust: Or, more accurately, non-charitable purpose trust (all charitable trusts are purpose trusts). Generally, the law does not permit non-charitable purpose trusts outside of certain anomalous exceptions which arose under the eighteenth-century common law (and, arguably, Quistclose trusts). Certain jurisdictions (principally, offshore jurisdictions) have enacted legislation validating non-charitable purpose trusts generally.
QTIP Trust: Short for "qualified terminal interest property". A trust recognized under the tax laws of the United States which qualifies for the marital gift exclusion from the estate tax.