TL;DR: all magical items from LK chests can spawn with +3.
Long version:
+3 to a skill tree requires alvl 60. Now, from the item generation tutorial:
Item generation tutorial said:
When an item is generated that has prefixes the alvl is calculated* from ilvl and qlvl as follows:
If (ilvl>99) then {ilvl=99}
if (qlvl>ilvl) then {ilvl=qlvl} ;** see note below
if (magic_lvl>0) then {alvl=ilvl+magic_lvl}
else
{
if (ilvl<(99-qlvl/2))
then {alvl=ilvl-qlvl/2}
else {alvl=2*ilvl-99}
}
If (alvl>99) then {alvl=99}
- *all calculations use integers so there are no fractions at any step.
- ** this new ilvl value is only used for the duration of this calculation. The ilvl value that is stored in the items data file will remain unchanged
What this basically means is, that every items with a magic_lvl can spawn +3 to a skill tree, because the alvl will be 81+
Here's a list of all items with magic_lvl:
Item generation tutorial said:
All Wands, Staffs and Orbs have magic_lvl=1. Circlets have magic_lvl=3, Coronets have magic_lvl=8, Tiaras have magic_lvl=13, Diadems have magic_lvl=18. Other items don't have it.
with other items it is more difficult. Basically every item with qlvl 36 or less can spawn +3 to a skill tree, because of this line:
Item generation tutorial said:
if (ilvl<(99-qlvl/2))
then {alvl=ilvl-qlvl/2}
the first line is always true for ilvl 80 items with qlvl of 36 or less, and the second line results in alvl 62+.
btw, Amulets and Rings always have a qlvl of 1. So all magical amulets from LK can spawn with +3 to a skill tree.
Now let's see what the formula says for qlvl>36:
Item generation tutorial said:
if (ilvl<(99-qlvl/2))
then {alvl=ilvl-qlvl/2}
else {alvl=2*ilvl-99}
Every qlvl between 37 and 80 results in the same alvl for ilvl 80, that is 61.
Items with qlvl > 80 (ilvl) will instead get the ilvl of 80 replaced with the qlvl for the calculation only (not in the readout) and will have higher ilvl and thus have higher alvl than 61 (e.g. War Pike: it has a qlvl of 85, so alvl will be (2*85-99)= 71.)
So yes, indeed every magical item from LK chest can spawn with +3 to one skill tree (if there aren't any mistakes or mental missteps from my side...)
Here's a link to the affix calculator site: