There are only 18 skills in D&D, and all the characters could be trained in several of them because of the class, race or background. Some of the skills would be very situational in a combat-focused videogame, like performance. You could also make skillchecks untrained if needed. Unless they go overboard with the DC you could cover most of them with a 4-man-party (heck, you could cover more than half of them with only one character like a rogue or a lore bard)
---Strength---
Athletics
---Dexterity---
Acrobatics
Sleight of Hand
Stealth
---Intelligence---
Arcana
History
Investigation
Nature
Religion
---Wisdom---
Animal Handling
Insight
Medicine
Perception
Survival
---Charisma----
Deception
Intimidation
Performance
Persuasion
D&D5e subclasses are very versatile. Even with a party of four you have plenty of options. You can make a Bard All-stars party if you want to.
Githyank/MountainDwarf - College of Valor bard (Outlander) - Main tank [OPT: 1 level of Fighter]
Lightfoot halfling - College of swords (Urchin) -Scout, striker and trap-lock disabler [OPT: 2 levels of rogue]
Tiefling - College of eloquence (Guild artisan) - The face of the group and main healer. [OPT: 1 level of Life Cleric]
Half-elf - College of Lore bard (Sage) - Skillmonkey and offensive/control caster.