Is it possible to skip Tutorial Island

Note: This guide is for Oldschool RuneScape only, as RS3 has many differences in training for XP as well as huge distinctions from OSRS in weaponry and combat.

It's extremely difficult to determine the exact order in which to train these two skills as each level provides minor marginal benefits which change based on the weapon you're using. It may be up to you to decide which is more important to you in terms of accuracy or damage, but there are a few things to consider to help guide you in your combat routing:

• The amount of experience it takes to increase 7 levels in a skill is roughly the same as it takes to get to that level (starting from level 30 or so). So your experience at level 60 will be 273,742 and it will take 274,211 XP to get to 67. Therefore, a relatively balanced approach is best to keep marginal benefit/level high.
• Gaining levels in strength only increases XP/hour when your maximum hit increases, so it doesn't make sense to train strength unless you are planning on doing so until your max hit increases.
• Wielding a better weapon increases both your accuracy and maximum hit, so it is highly desirable to reach the next weapon type plateau if you are close in attack level.
• Note that changing weapon types will change how many strength levels you need to increase your max hit. This also applies to certain pieces of armor such as enchanted amulets and metal boots.
• I actually do suggest training defence, as it can decrease the amount of damage you take, thereby decrease the amount of food you need to consume while training and therefore decreasing the number of bank trips you have to take. It will also open up other options for increasing damage output such as metal boots and defenders.

Using these suggestions, I would say to increase your strength until your max hit rises. Then, use a max hit calculator to check how many levels it would take to increase it again. If this is past your next weapon plateau (so if you're using adamant, that would be 40), then train attack until you reach that plateau. Then switch weapons and repeat the process. I would also train defense so that it's less than 20 levels below your attack (so mith if you're using a rune weapon), but that's up to you.

Yes, such a list does exist. I found a complete list in this quest guide from March 2010 (no affiliation). It took some looking, as guides for the quest on most of the standard Old School help sites, such as 2007wiki and Zybez's 2007rshelp, do not contain such a list.

Here's the list:

Aquarius: 25 Water runes
Aries: 875 Attack XP
Cancer: Amulet of protection
Capricorn: 875 Strength XP
Gemini: Black 2-handed sword and uncut sapphire
Leo: 875 Constituion [Hitpoints] XP
Libra: 3 Law runes
Pisces: 3 Cooked tunas and uncut sapphire
Sagittarius: Maple longbow
Scorpio: Weapon poison
Taurus: Super strength potion
Virgo: 875 Defence XP and uncut sapphire

Happy questing!