Okay, here is the list of those unique verbs with their stems when conjugated in the pretérito (preterite tense). Some verbs have regular stems in the preterite (even if they are stem-changing in other tenses), while many have irregular stems.
acostarse (to go to bed): The verb is acostar. In the preterite, it has a regular stem: acost-
(yo me acosté, tú te acostaste, él/ella/Ud. se acostó, etc.)
andar (to walk, to go): Irregular preterite stem: anduv-
(anduve, anduviste, anduvo, etc.)
creer (to believe): The stem is cre-. In the 3rd person singular and plural, the i of the ending changes to y: creyó, creyeron.
(creí, creíste, creyó, creímos, creísteis, creyeron)
dar (to give): Irregular. The effective stem is d-, and it takes endings similar to -er/-ir verbs in the preterite.
(di, diste, dio, dimos, disteis, dieron)
decir (to say, to tell): Irregular preterite stem: dij- (Note: the ellos/ellas/Uds. form is dijeron, not dijieron)
(dije, dijiste, dijo, dijimos, dijisteis, dijeron)
despertarse (to wake up): The verb is despertar. In the preterite, it has a regular stem: despert-
(yo me desperté, tú te despertaste, él/ella/Ud. se despertó, etc.)
estar (to be): Irregular preterite stem: estuv-
(estuve, estuviste, estuvo, etc.)
haber (to have (auxiliary), there to be): Irregular preterite stem: hub-
(hube, hubiste, hubo, hubimos, hubisteis, hubieron)
hacer (to do, to make): Irregular preterite stem: hic- (but changes to hiz- in the 3rd person singular: hizo)
(hice, hiciste, hizo, hicimos, hicisteis, hicieron)
ir (to go): Irregular preterite stem: fu- (same as ser)
(fui, fuiste, fue, fuimos, fuisteis, fueron)
oir (to hear): The stem is o-. In the 3rd person singular and plural, the i of the ending changes to y: oyó, oyeron. Most forms also carry a written accent on the í or ó.
(oí, oíste, oyó, oímos, oísteis, oyeron)
poder (to be able, can): Irregular preterite stem: pud-
(pude, pudiste, pudo, etc.)
poner (to put): Irregular preterite stem: pus-
(puse, pusiste, puso, etc.)
querer (to want, to love): Irregular preterite stem: quis-
(quise, quisiste, quiso, etc.)
saber (to know): Irregular preterite stem: sup-
(supe, supiste, supo, etc.)
ser (to be): Irregular preterite stem: fu- (same as ir)
(fui, fuiste, fue, fuimos, fuisteis, fueron)
tener (to have): Irregular preterite stem: tuv-
(tuve, tuviste, tuvo, etc.)
traer (to bring): Irregular preterite stem: traj- (Note: the ellos/ellas/Uds. form is trajeron, not trajieron)
(traje, trajiste, trajo, trajimos, trajisteis, trajeron)
venir (to come): Irregular preterite stem: vin-
(vine, viniste, vino, etc.)