If I am understanding you question, what you are looking for is a Concordance for the translation.
Using Kosmos since you chose that word, if you want to know how many times the Greek word was used consulting the KJV Concordance yields the fact that KOSMOS was used 188 times in the KJV, all but three times it was translated as world, Twice as adorning, (both in 1st Peter 3:3 and once as world’s in 1st John 3:17. Since the concordance reference is tied to the Strong's number, other words that were also translated world are disregarded. It the translation has embedded Strong's numbers you can do a search for that specific number as well and see the verses listed in full.
Total KJV Occurrences: 188
Mat_4:8, Mat_5:14, Mat_13:35, Mat_13:38, Mat_16:26, Mat_18:7, Mat_24:21, Mat_25:34, Mat_26:13, Mar_8:36, Mar_14:9, Mar_16:15, Luk_9:25, Luk_11:50, Luk_12:30, Joh_1:9-10 (4), Joh_1:29, Joh_3:16-17 (4), Joh_3:19, Joh_4:42, Joh_6:14, Joh_6:33, Joh_6:51, Joh_7:4, Joh_7:7, Joh_8:12, Joh_8:23 (2), Joh_8:26, Joh_9:5 (2), Joh_9:39, Joh_10:36, Joh_11:9, Joh_11:27, Joh_12:19, Joh_12:25, Joh_12:31 (2), Joh_12:46-47 (3), Joh_13:1 (2), Joh_14:17, Joh_14:19, Joh_14:22, Joh_14:27, Joh_14:30-31 (2), Joh_15:18-19 (6), Joh_16:8, Joh_16:11, Joh_16:20-21 (2), Joh_16:28 (2), Joh_16:33, John 17 (19), (2) Joh_18:20, Joh_18:36-37 (3), Joh_21:25, Act_17:24, Rom_1:8, Rom_1:20, Rom_3:6, Rom_3:19, Rom_4:13, Rom_5:12-13 (2), Rom_11:12, Rom_11:15, 1Co_1:20-21 (2), 1Co_1:27-28 (3), 1Co_2:12, 1Co_3:19, 1Co_3:22, 1Co_4:9, 1Co_4:13, 1Co_5:10 (2), 1Co_6:2 (2), 1Co_7:31 (2), 1Co_7:33-34 (2), 1Co_8:4, 1Co_11:32, 1Co_14:10, 2Co_1:12, 2Co_5:19, 2Co_7:10, Gal_4:3, Gal_6:14 (2), Eph_1:4, Eph_2:2, Eph_2:12, Phi_2:15, Col_1:6, Col_2:8, Col_2:20 (2), 1Ti_3:15-16 (2), 1Ti_6:7, Heb_4:3, Heb_9:26, Heb_10:5, Heb_11:7, Heb_11:38, Jam_1:27, Jam_3:5-6 (2), Jam_4:4 (2), 1Pe_1:20, 1Pe_5:9, 2Pe_2:4-5 (3), 2Pe_2:20, 2Pe_3:6, 1Jo_2:2, 1Jo_2:15-17 (6), 1Jo_3:1, 1Jo_3:13, 1Jo_4:1, 1Jo_4:3-5 (5), 1Jo_4:9, 1Jo_4:14, 1Jo_4:17, 1Jo_5:4-5 (3),
1Jo_5:19, 2Jo_1:7, Rev_11:15, Rev_17:8 (2)