The Geluk tradition expounds on the following five types of meditation. I am sorry that I did not find many online texts for free. In case you are interested, though, I list texts that might ease your researches. As I give you only two links to free online texts, I would understand if you down-vote my post.
You find here teachings (for free) related to Tsongkhapa's Middle-Length Lam Rim. They must cover the first, second and third types of the five types of meditation I list below. They were given by my teacher.
You also have the possibility to subscribe to the FPMT Online Basic Program. It provides with study material on twelve topics or modules. You can chose which module(s) you wish to study. Again, the Stages of the Path (Lam Rim) module relates to the first, second and third of the 5 types of meditation listed below, while the Ornament for Clear Realization, Ch 4 relates to the practice of the four placements.
The five types of meditation you find in the Geluk tradition are:
Of the type of Vipassana (i.e. analytical), but not actual vipassana
Most Lam Rim topics are objects of such analytical meditations.
Ani Karin Valham (a quiet inspiring nun and teacher from Kopan, ordained for almost 40 years now) wrote outlines called beginner's meditation guide. It's best is you already know Tsongkhapa's Middle-Length or Greater Lam Rim text.Calm Abiding (non-analytical)
Mostly on the [mental image of] the body of the Buddha. Not so much on one's breath. As commentaries to the 1st part of the 3rd volume of Tsongkhapa's Lam Rim Chen Mo, the FPMT advises these:
- Samatha Meditation, by Gen Lamrimpa.
- Balancing the Mind, by Alan Wallace.
- Study and Practice of Meditation, Leah Zahler.
- Gyaltsab Je's Explanation: Ornament of the Essence Chapter 1Actual Vipassana (i.e. analytical meditation on emptiness) As commentaries to the 2nd part of the 3rd volume of Tsongkhapa's Lam Rim Chen Mo, the FPMT advises these:
- Tsongkhapa's Final Exposition of Wisdom.
- Insight into Emptiness, by Khensur Tegchok
- Meditation on Emptiness, by Jeffrey Hopkins.
- Emptiness Yoga, by Jeffrey Hopkins.Four Placements (close to Sathipattana, but not as elaborated as the typically Theravadin practice)
- Maitreya's Ornament of clear Realization (and commentaries by Haribhadra, Gyaltsab Je, etc)
For further study, the four placements are the first of the 37 aids to Enlightenment (Skt.: bodhipakṣa dharma)Mahamudra
It is meditation of the conventional nature of the mind (clear light - or 'clear and knowing') and its ultimate nature. Exercises such as 'the mind like a mirror', or 'the mind like the sky', or 'four placements without an anchor' are preliminaries to it.