There are 208 4-letter words starting with L in the ENABLE dictionary — 5% of all 3,903 words at this length. L is a one-point tile, so the value in this list is positional rather than numerical — which of these you can play depends far more on where it fits the board than on what it scores.
The list divides into 7 groups by second letter, the largest being the 50 words with lo. Scanning the right group is faster than reading the whole list, which is why it is broken up below rather than run alphabetically.
If you know more than one letter, this page stops being the fast way to find it. Enter what you have in the unscrambler — the Contains, Starts with and Ends with filters combine, and setting both length fields to 4 narrows this list to the handful your letters actually allow.
All 208 words, by second letter
LA… (48)
labs lace lack lacs lacy lade lads lady lags laic laid lain lair lake lakh laky lall lama lamb lame lamp lams land lane lang lank laps lard lari lark lars lase lash lass last late lath lati lats laud lava lave lavs lawn laws lays laze lazy
LE… (34)
lead leaf leak leal lean leap lear leas lech leek leer lees leet left legs lehr leis leke leks leku lend leno lens lent lept less lest lets leud leva levo levy lewd leys
LI… (44)
liar libs lice lich lick lido lids lied lief lien lier lies lieu life lift like lilt lily lima limb lime limn limo limp limy line ling link linn lino lins lint liny lion lips lira lire liri lisp list lite lits litu live
LO… (50)
load loaf loam loan lobe lobo lobs loca loch loci lock loco lode loft loge logo logs logy loin loll lone long loof look loom loon loop loos loot lope lops lord lore lorn lory lose loss lost lota loth loti lots loud loup lour lout love lowe lown lows